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Proofgold Asset

asset id
2c2bb632d130dc6b2d04485e2267410d9b717f3cbc98b926ea1b4efc17c6813f
asset hash
d3aa811b32a6fb09066507a88bf2f5a39b8a4d756a1c7e155ac9f87542627caf
bday / block
20666
tx
94f6f..
preasset
doc published by Pr4zB..
Definition FalseFalse := ∀ x0 : ο . x0
Definition notnot := λ x0 : ο . x0False
Known f6ab2.. : ∀ x0 x1 : ι → ο . ∀ x2 x3 x4 x5 x6 x7 . (∀ x8 : ι → ο . x8 x2x8 x3x8 x4x8 x5x8 x6x8 x7∀ x9 . x0 x9x8 x9)x0 x2x0 x3x0 x4x0 x5x0 x6x0 x7x1 x2x1 x3x1 x4x1 x5∀ x8 x9 x10 : ι → ι . x8 x2 = x3x8 x3 = x2x8 x4 = x5x8 x5 = x4x9 x2 = x4x9 x3 = x5x9 x4 = x2x9 x5 = x3x10 x2 = x5x10 x3 = x4x10 x4 = x3x10 x5 = x2∀ x11 : ι → ι → ι → ι → ο . (∀ x12 x13 . x0 x12x0 x13not (x11 x12 x13 x12 x13))(∀ x12 x13 x14 x15 . x11 x12 x13 x14 x15x11 x14 x15 x12 x13)(∀ x12 x13 . x0 x12x0 x13not (x11 x12 x13 x7 x7))(∀ x12 x13 x14 x15 . x0 x12x1 x13x0 x14x1 x15not (x11 x12 x13 x14 x15)not (x11 x12 (x8 x13) x14 (x8 x15)))(∀ x12 x13 x14 x15 . x0 x12x1 x13x0 x14x1 x15not (x11 x12 x13 x14 x15)not (x11 x12 (x9 x13) x14 (x9 x15)))(∀ x12 x13 x14 x15 . x0 x12x1 x13x0 x14x1 x15not (x11 x12 x13 x14 x15)not (x11 x12 (x10 x13) x14 (x10 x15)))(∀ x12 . x0 x12not (x11 x4 x6 x5 x12))(∀ x12 . x0 x12not (x11 x4 x6 x7 x12))(∀ x12 . x0 x12not (x11 x5 x6 x6 x12))(∀ x12 . x0 x12not (x11 x6 x6 x2 x12))(∀ x12 . x0 x12not (x11 x2 x2 x12 x7))not (x11 x2 x2 x2 x3)not (x11 x2 x2 x2 x5)not (x11 x2 x2 x3 x4)not (x11 x2 x2 x3 x5)not (x11 x2 x2 x4 x2)not (x11 x2 x2 x4 x3)not (x11 x2 x2 x5 x2)not (x11 x2 x2 x5 x5)not (x11 x2 x2 x6 x2)not (x11 x2 x2 x6 x3)not (x11 x2 x2 x7 x3)not (x11 x2 x2 x7 x6)not (x11 x2 x4 x2 x6)not (x11 x2 x4 x3 x2)not (x11 x2 x4 x5 x6)not (x11 x2 x6 x3 x2)not (x11 x2 x6 x3 x6)not (x11 x2 x6 x4 x4)not (x11 x2 x6 x5 x3)not (x11 x2 x6 x5 x4)not (x11 x2 x6 x6 x5)not (x11 x2 x6 x7 x2)not (x11 x2 x6 x7 x4)not (x11 x2 x6 x7 x5)not (x11 x3 x2 x4 x4)not (x11 x3 x2 x6 x5)not (x11 x3 x3 x4 x6)not (x11 x3 x3 x5 x6)not (x11 x3 x4 x4 x2)not (x11 x3 x5 x6 x2)not (x11 x3 x6 x4 x6)not (x11 x3 x6 x7 x2)not (x11 x3 x6 x7 x4)not (x11 x4 x2 x6 x3)not (x11 x4 x3 x6 x2)not (x11 x4 x5 x4 x6)not (x11 x4 x5 x5 x6)not (x11 x4 x6 x6 x4)not (x11 x7 x2 x7 x4)∀ x12 . x0 x12∀ x13 . x0 x13∀ x14 . x0 x14∀ x15 . x0 x15∀ x16 . x0 x16x11 x2 x2 x2 x12x11 x2 x2 x13 x14x11 x2 x2 x15 x16x11 x2 x12 x13 x14x11 x2 x12 x15 x16x11 x13 x14 x15 x16False
Known 00508.. : ∀ x0 x1 : ι → ο . ∀ x2 x3 x4 x5 x6 x7 . (∀ x8 : ι → ο . x8 x2x8 x3x8 x4x8 x5x8 x6x8 x7∀ x9 . x0 x9x8 x9)x0 x2x0 x3x0 x4x0 x5x0 x6x0 x7x1 x2x1 x3x1 x4x1 x5∀ x8 x9 x10 : ι → ι . x8 x2 = x3x8 x3 = x2x8 x4 = x5x8 x5 = x4x9 x2 = x4x9 x3 = x5x9 x4 = x2x9 x5 = x3x10 x2 = x5x10 x3 = x4x10 x4 = x3x10 x5 = x2∀ x11 : ι → ι → ι → ι → ο . (∀ x12 x13 . x0 x12x0 x13not (x11 x12 x13 x12 x13))(∀ x12 x13 x14 x15 . x11 x12 x13 x14 x15x11 x14 x15 x12 x13)(∀ x12 x13 . x0 x12x0 x13not (x11 x12 x13 x7 x7))(∀ x12 x13 x14 x15 . x0 x12x1 x13x0 x14x1 x15not (x11 x12 x13 x14 x15)not (x11 x12 (x8 x13) x14 (x8 x15)))(∀ x12 x13 x14 x15 . x0 x12x1 x13x0 x14x1 x15not (x11 x12 x13 x14 x15)not (x11 x12 (x9 x13) x14 (x9 x15)))(∀ x12 x13 x14 x15 . x0 x12x1 x13x0 x14x1 x15not (x11 x12 x13 x14 x15)not (x11 x12 (x10 x13) x14 (x10 x15)))(∀ x12 . x0 x12not (x11 x4 x6 x5 x12))(∀ x12 . x0 x12not (x11 x5 x6 x6 x12))(∀ x12 . x0 x12not (x11 x6 x6 x2 x12))(∀ x12 . x0 x12not (x11 x2 x2 x12 x7))not (x11 x2 x2 x2 x3)not (x11 x2 x2 x2 x5)not (x11 x2 x2 x3 x4)not (x11 x2 x2 x3 x5)not (x11 x2 x2 x4 x2)not (x11 x2 x2 x4 x3)not (x11 x2 x2 x5 x2)not (x11 x2 x2 x5 x5)not (x11 x2 x2 x6 x2)not (x11 x2 x2 x6 x3)not (x11 x2 x2 x7 x3)not (x11 x2 x2 x7 x6)not (x11 x2 x3 x4 x2)not (x11 x2 x3 x7 x2)not (x11 x2 x4 x3 x2)not (x11 x2 x4 x5 x6)not (x11 x2 x5 x3 x2)not (x11 x2 x6 x3 x2)not (x11 x2 x6 x3 x6)not (x11 x2 x6 x5 x4)not (x11 x2 x6 x6 x5)not (x11 x2 x6 x7 x2)not (x11 x3 x2 x3 x3)not (x11 x3 x2 x3 x6)not (x11 x3 x2 x4 x4)not (x11 x3 x2 x4 x5)not (x11 x3 x2 x5 x2)not (x11 x3 x2 x6 x5)not (x11 x3 x2 x7 x2)not (x11 x3 x2 x7 x4)not (x11 x3 x2 x7 x5)not (x11 x3 x3 x4 x6)not (x11 x3 x3 x5 x6)not (x11 x3 x4 x4 x2)not (x11 x3 x4 x7 x2)not (x11 x3 x6 x4 x4)not (x11 x3 x6 x4 x6)not (x11 x3 x6 x5 x3)not (x11 x3 x6 x5 x4)not (x11 x3 x6 x6 x4)not (x11 x3 x6 x6 x5)not (x11 x3 x6 x7 x2)not (x11 x3 x6 x7 x4)not (x11 x4 x2 x7 x2)not (x11 x4 x5 x5 x6)not (x11 x4 x6 x6 x4)not (x11 x5 x2 x5 x5)not (x11 x5 x2 x6 x2)not (x11 x5 x2 x6 x3)not (x11 x5 x2 x6 x5)not (x11 x5 x3 x5 x6)not (x11 x5 x3 x6 x2)not (x11 x5 x4 x5 x6)not (x11 x5 x4 x7 x2)not (x11 x5 x5 x6 x2)not (x11 x5 x6 x7 x5)not (x11 x6 x5 x7 x2)∀ x12 . x0 x12∀ x13 . x0 x13∀ x14 . x0 x14∀ x15 . x0 x15∀ x16 . x0 x16x11 x2 x2 x3 x12x11 x2 x2 x13 x14x11 x2 x2 x15 x16x11 x3 x12 x13 x14x11 x3 x12 x15 x16x11 x13 x14 x15 x16False
Known e19c7.. : ∀ x0 x1 : ι → ο . ∀ x2 x3 x4 x5 x6 x7 . (∀ x8 : ι → ο . x8 x2x8 x3x8 x4x8 x5x8 x6x8 x7∀ x9 . x0 x9x8 x9)x0 x2x0 x3x0 x4x0 x5x0 x6x0 x7x1 x2x1 x3x1 x4x1 x5∀ x8 x9 x10 : ι → ι . x8 x2 = x3x8 x3 = x2x8 x4 = x5x8 x5 = x4x9 x2 = x4x9 x3 = x5x9 x4 = x2x9 x5 = x3x10 x2 = x5x10 x3 = x4x10 x4 = x3x10 x5 = x2∀ x11 : ι → ι → ι → ι → ο . (∀ x12 x13 . x0 x12x0 x13not (x11 x12 x13 x12 x13))(∀ x12 x13 x14 x15 . x11 x12 x13 x14 x15x11 x14 x15 x12 x13)(∀ x12 x13 . x0 x12x0 x13not (x11 x12 x13 x7 x7))(∀ x12 x13 x14 x15 . x0 x12x1 x13x0 x14x1 x15not (x11 x12 x13 x14 x15)not (x11 x12 (x8 x13) x14 (x8 x15)))(∀ x12 x13 x14 x15 . x0 x12x1 x13x0 x14x1 x15not (x11 x12 x13 x14 x15)not (x11 x12 (x9 x13) x14 (x9 x15)))(∀ x12 x13 x14 x15 . x0 x12x1 x13x0 x14x1 x15not (x11 x12 x13 x14 x15)not (x11 x12 (x10 x13) x14 (x10 x15)))(∀ x12 . x0 x12not (x11 x4 x6 x5 x12))(∀ x12 . x0 x12not (x11 x4 x6 x7 x12))(∀ x12 . x0 x12not (x11 x6 x6 x2 x12))(∀ x12 . x0 x12not (x11 x2 x2 x12 x7))not (x11 x2 x2 x2 x3)not (x11 x2 x2 x2 x5)not (x11 x2 x2 x3 x4)not (x11 x2 x2 x3 x5)not (x11 x2 x2 x4 x2)not (x11 x2 x2 x4 x3)not (x11 x2 x2 x5 x2)not (x11 x2 x2 x5 x5)not (x11 x2 x2 x6 x2)not (x11 x2 x2 x6 x3)not (x11 x2 x2 x7 x3)not (x11 x2 x2 x7 x6)not (x11 x2 x3 x4 x2)not (x11 x2 x3 x6 x2)not (x11 x2 x4 x2 x6)not (x11 x2 x4 x3 x2)not (x11 x2 x6 x3 x2)not (x11 x2 x6 x3 x6)not (x11 x2 x6 x4 x4)not (x11 x2 x6 x5 x3)not (x11 x2 x6 x5 x4)not (x11 x2 x6 x6 x5)not (x11 x3 x2 x4 x4)not (x11 x3 x2 x4 x5)not (x11 x3 x2 x6 x5)not (x11 x3 x3 x4 x6)not (x11 x3 x4 x4 x2)not (x11 x3 x5 x4 x2)not (x11 x3 x6 x4 x4)not (x11 x3 x6 x4 x6)not (x11 x3 x6 x5 x3)not (x11 x3 x6 x5 x4)not (x11 x4 x2 x5 x2)not (x11 x4 x2 x5 x5)not (x11 x4 x2 x6 x2)not (x11 x4 x2 x6 x3)not (x11 x4 x2 x7 x2)not (x11 x4 x2 x7 x3)not (x11 x4 x3 x6 x2)not (x11 x4 x5 x4 x6)not (x11 x4 x5 x5 x2)not (x11 x4 x5 x5 x6)not (x11 x4 x5 x7 x2)not (x11 x4 x6 x6 x4)not (x11 x5 x2 x5 x5)not (x11 x5 x6 x7 x2)∀ x12 . x0 x12∀ x13 . x0 x13∀ x14 . x0 x14∀ x15 . x0 x15∀ x16 . x0 x16x11 x2 x2 x4 x12x11 x2 x2 x13 x14x11 x2 x2 x15 x16x11 x4 x12 x13 x14x11 x4 x12 x15 x16x11 x13 x14 x15 x16False
Known 8c621.. : ∀ x0 x1 : ι → ο . ∀ x2 x3 x4 x5 x6 x7 . (∀ x8 : ι → ο . x8 x2x8 x3x8 x4x8 x5x8 x6x8 x7∀ x9 . x0 x9x8 x9)x0 x2x0 x3x0 x4x0 x5x0 x6x0 x7x1 x2x1 x3x1 x4x1 x5∀ x8 x9 x10 : ι → ι . x8 x2 = x3x8 x3 = x2x8 x4 = x5x8 x5 = x4x9 x2 = x4x9 x3 = x5x9 x4 = x2x9 x5 = x3x10 x2 = x5x10 x3 = x4x10 x4 = x3x10 x5 = x2∀ x11 : ι → ι → ι → ι → ο . (∀ x12 x13 . x0 x12x0 x13not (x11 x12 x13 x12 x13))(∀ x12 x13 x14 x15 . x11 x12 x13 x14 x15x11 x14 x15 x12 x13)(∀ x12 x13 . x0 x12x0 x13not (x11 x12 x13 x7 x7))(∀ x12 x13 x14 x15 . x0 x12x1 x13x0 x14x1 x15not (x11 x12 x13 x14 x15)not (x11 x12 (x8 x13) x14 (x8 x15)))(∀ x12 x13 x14 x15 . x0 x12x1 x13x0 x14x1 x15not (x11 x12 x13 x14 x15)not (x11 x12 (x9 x13) x14 (x9 x15)))(∀ x12 x13 x14 x15 . x0 x12x1 x13x0 x14x1 x15not (x11 x12 x13 x14 x15)not (x11 x12 (x10 x13) x14 (x10 x15)))(∀ x12 . x0 x12not (x11 x4 x6 x5 x12))(∀ x12 . x0 x12not (x11 x5 x6 x6 x12))(∀ x12 . x0 x12not (x11 x6 x6 x2 x12))(∀ x12 . x0 x12not (x11 x2 x2 x12 x7))not (x11 x2 x2 x2 x3)not (x11 x2 x2 x2 x5)not (x11 x2 x2 x3 x4)not (x11 x2 x2 x3 x5)not (x11 x2 x2 x4 x2)not (x11 x2 x2 x4 x3)not (x11 x2 x2 x5 x2)not (x11 x2 x2 x5 x5)not (x11 x2 x2 x6 x2)not (x11 x2 x2 x6 x3)not (x11 x2 x2 x7 x3)not (x11 x2 x2 x7 x6)not (x11 x2 x4 x5 x6)not (x11 x2 x5 x5 x2)not (x11 x2 x6 x3 x2)not (x11 x2 x6 x3 x6)not (x11 x2 x6 x4 x4)not (x11 x2 x6 x5 x3)not (x11 x2 x6 x5 x4)not (x11 x2 x6 x7 x4)not (x11 x3 x2 x3 x3)not (x11 x3 x2 x3 x6)not (x11 x3 x2 x4 x4)not (x11 x3 x2 x4 x5)not (x11 x3 x2 x5 x2)not (x11 x3 x2 x6 x5)not (x11 x3 x2 x7 x2)not (x11 x3 x2 x7 x4)not (x11 x3 x2 x7 x5)not (x11 x3 x3 x5 x6)not (x11 x3 x4 x4 x2)not (x11 x3 x4 x7 x2)not (x11 x3 x5 x7 x2)not (x11 x3 x6 x4 x4)not (x11 x3 x6 x5 x3)not (x11 x3 x6 x5 x4)not (x11 x3 x6 x7 x4)not (x11 x4 x2 x5 x2)not (x11 x4 x2 x6 x2)not (x11 x4 x2 x7 x2)not (x11 x4 x2 x7 x3)not (x11 x4 x3 x7 x2)not (x11 x4 x5 x5 x2)not (x11 x4 x5 x5 x6)not (x11 x4 x5 x7 x2)not (x11 x5 x2 x5 x5)not (x11 x5 x2 x6 x2)not (x11 x5 x2 x6 x3)not (x11 x5 x2 x6 x5)not (x11 x5 x2 x7 x4)not (x11 x5 x2 x7 x5)not (x11 x5 x3 x5 x6)not (x11 x5 x4 x5 x6)not (x11 x5 x4 x7 x2)not (x11 x5 x6 x7 x2)not (x11 x5 x6 x7 x5)not (x11 x6 x5 x7 x2)not (x11 x7 x2 x7 x3)∀ x12 . x0 x12∀ x13 . x0 x13∀ x14 . x0 x14∀ x15 . x0 x15∀ x16 . x0 x16x11 x2 x2 x5 x12x11 x2 x2 x13 x14x11 x2 x2 x15 x16x11 x5 x12 x13 x14x11 x5 x12 x15 x16x11 x13 x14 x15 x16False
Known 36ad1.. : ∀ x0 x1 : ι → ο . ∀ x2 x3 x4 x5 x6 x7 . (∀ x8 : ι → ο . x8 x2x8 x3x8 x4x8 x5x8 x6x8 x7∀ x9 . x0 x9x8 x9)x0 x2x0 x3x0 x4x0 x5x0 x6x0 x7x1 x2x1 x3x1 x4x1 x5∀ x8 x9 x10 : ι → ι . x8 x2 = x3x8 x3 = x2x8 x4 = x5x8 x5 = x4x9 x2 = x4x9 x3 = x5x9 x4 = x2x9 x5 = x3x10 x2 = x5x10 x3 = x4x10 x4 = x3x10 x5 = x2∀ x11 : ι → ι → ι → ι → ο . (∀ x12 x13 . x0 x12x0 x13not (x11 x12 x13 x12 x13))(∀ x12 x13 x14 x15 . x11 x12 x13 x14 x15x11 x14 x15 x12 x13)(∀ x12 x13 . x0 x12x0 x13not (x11 x12 x13 x7 x7))(∀ x12 x13 x14 x15 . x0 x12x1 x13x0 x14x1 x15not (x11 x12 x13 x14 x15)not (x11 x12 (x8 x13) x14 (x8 x15)))(∀ x12 x13 x14 x15 . x0 x12x1 x13x0 x14x1 x15not (x11 x12 x13 x14 x15)not (x11 x12 (x9 x13) x14 (x9 x15)))(∀ x12 x13 x14 x15 . x0 x12x1 x13x0 x14x1 x15not (x11 x12 x13 x14 x15)not (x11 x12 (x10 x13) x14 (x10 x15)))(∀ x12 . x0 x12not (x11 x4 x6 x5 x12))(∀ x12 . x0 x12not (x11 x4 x6 x7 x12))(∀ x12 . x0 x12not (x11 x5 x6 x6 x12))(∀ x12 . x0 x12not (x11 x6 x6 x2 x12))(∀ x12 . x0 x12not (x11 x2 x2 x12 x7))not (x11 x2 x2 x2 x3)not (x11 x2 x2 x2 x5)not (x11 x2 x2 x3 x4)not (x11 x2 x2 x3 x5)not (x11 x2 x2 x4 x2)not (x11 x2 x2 x4 x3)not (x11 x2 x2 x5 x2)not (x11 x2 x2 x5 x5)not (x11 x2 x2 x6 x2)not (x11 x2 x2 x6 x3)not (x11 x2 x2 x7 x3)not (x11 x2 x2 x7 x6)not (x11 x2 x3 x6 x2)not (x11 x2 x6 x3 x2)not (x11 x2 x6 x6 x5)not (x11 x2 x6 x7 x4)not (x11 x2 x6 x7 x5)not (x11 x3 x2 x5 x2)not (x11 x3 x2 x6 x5)not (x11 x3 x2 x7 x4)not (x11 x3 x2 x7 x5)not (x11 x3 x3 x4 x6)not (x11 x3 x4 x7 x2)not (x11 x3 x5 x6 x2)not (x11 x3 x5 x7 x2)not (x11 x3 x6 x6 x4)not (x11 x3 x6 x6 x5)not (x11 x4 x2 x6 x2)not (x11 x4 x3 x6 x2)not (x11 x4 x6 x6 x4)not (x11 x5 x2 x6 x2)not (x11 x5 x2 x7 x4)not (x11 x5 x2 x7 x5)not (x11 x5 x3 x6 x2)not (x11 x5 x4 x7 x2)not (x11 x5 x5 x6 x2)not (x11 x5 x5 x7 x2)not (x11 x6 x2 x6 x3)not (x11 x6 x4 x7 x2)not (x11 x6 x5 x7 x2)not (x11 x7 x2 x7 x3)∀ x12 . x0 x12∀ x13 . x0 x13∀ x14 . x0 x14∀ x15 . x0 x15∀ x16 . x0 x16x11 x2 x2 x6 x12x11 x2 x2 x13 x14x11 x2 x2 x15 x16x11 x6 x12 x13 x14x11 x6 x12 x15 x16x11 x13 x14 x15 x16False
Known 5c63e.. : ∀ x0 x1 : ι → ο . ∀ x2 x3 x4 x5 x6 x7 . (∀ x8 : ι → ο . x8 x2x8 x3x8 x4x8 x5x8 x6x8 x7∀ x9 . x0 x9x8 x9)x0 x2x0 x3x0 x4x0 x5x0 x6x0 x7x1 x2x1 x3x1 x4x1 x5∀ x8 x9 x10 : ι → ι . x8 x2 = x3x8 x3 = x2x8 x4 = x5x8 x5 = x4x9 x2 = x4x9 x3 = x5x9 x4 = x2x9 x5 = x3x10 x2 = x5x10 x3 = x4x10 x4 = x3x10 x5 = x2∀ x11 : ι → ι → ι → ι → ο . (∀ x12 x13 . x0 x12x0 x13not (x11 x12 x13 x12 x13))(∀ x12 x13 x14 x15 . x11 x12 x13 x14 x15x11 x14 x15 x12 x13)(∀ x12 x13 . x0 x12x0 x13not (x11 x12 x13 x7 x7))(∀ x12 x13 x14 x15 . x0 x12x1 x13x0 x14x1 x15not (x11 x12 x13 x14 x15)not (x11 x12 (x8 x13) x14 (x8 x15)))(∀ x12 x13 x14 x15 . x0 x12x1 x13x0 x14x1 x15not (x11 x12 x13 x14 x15)not (x11 x12 (x9 x13) x14 (x9 x15)))(∀ x12 x13 x14 x15 . x0 x12x1 x13x0 x14x1 x15not (x11 x12 x13 x14 x15)not (x11 x12 (x10 x13) x14 (x10 x15)))(∀ x12 . x0 x12not (x11 x4 x6 x7 x12))(∀ x12 . x0 x12not (x11 x5 x6 x6 x12))(∀ x12 . x0 x12not (x11 x6 x6 x2 x12))(∀ x12 . x0 x12not (x11 x2 x2 x12 x7))not (x11 x2 x2 x2 x3)not (x11 x2 x2 x2 x5)not (x11 x2 x2 x3 x4)not (x11 x2 x2 x3 x5)not (x11 x2 x2 x4 x2)not (x11 x2 x2 x4 x3)not (x11 x2 x2 x5 x2)not (x11 x2 x2 x5 x5)not (x11 x2 x2 x6 x2)not (x11 x2 x2 x6 x3)not (x11 x2 x2 x7 x3)not (x11 x2 x2 x7 x6)not (x11 x2 x3 x6 x2)not (x11 x2 x3 x7 x2)not (x11 x2 x4 x5 x6)not (x11 x2 x5 x3 x2)not (x11 x2 x5 x5 x2)not (x11 x2 x6 x7 x2)not (x11 x2 x6 x7 x4)not (x11 x2 x6 x7 x5)not (x11 x3 x2 x4 x5)not (x11 x3 x2 x5 x2)not (x11 x3 x2 x7 x2)not (x11 x3 x2 x7 x4)not (x11 x3 x2 x7 x5)not (x11 x3 x4 x7 x2)not (x11 x3 x5 x4 x2)not (x11 x3 x5 x7 x2)not (x11 x3 x6 x5 x4)not (x11 x3 x6 x6 x4)not (x11 x3 x6 x6 x5)not (x11 x3 x6 x7 x2)not (x11 x3 x6 x7 x4)not (x11 x4 x2 x5 x5)not (x11 x4 x2 x7 x2)not (x11 x4 x2 x7 x3)not (x11 x4 x3 x7 x2)not (x11 x4 x5 x5 x2)not (x11 x4 x5 x7 x2)not (x11 x5 x2 x6 x2)not (x11 x5 x2 x6 x3)not (x11 x5 x2 x7 x4)not (x11 x5 x3 x6 x2)not (x11 x5 x4 x5 x6)not (x11 x5 x4 x7 x2)not (x11 x5 x5 x7 x2)not (x11 x5 x6 x7 x2)not (x11 x5 x6 x7 x5)not (x11 x6 x2 x6 x3)not (x11 x6 x4 x7 x2)not (x11 x6 x5 x7 x2)not (x11 x7 x2 x7 x3)not (x11 x7 x2 x7 x4)∀ x12 . x0 x12∀ x13 . x0 x13∀ x14 . x0 x14∀ x15 . x0 x15∀ x16 . x0 x16x11 x2 x2 x7 x12x11 x2 x2 x13 x14x11 x2 x2 x15 x16x11 x7 x12 x13 x14x11 x7 x12 x15 x16x11 x13 x14 x15 x16False
Known 5283b.. : ∀ x0 x1 : ι → ο . ∀ x2 x3 x4 x5 x6 x7 . (∀ x8 : ι → ο . x8 x2x8 x3x8 x4x8 x5x8 x6x8 x7∀ x9 . x0 x9x8 x9)x0 x2x0 x3x0 x4x0 x5x0 x6x0 x7x1 x2x1 x3x1 x4x1 x5∀ x8 x9 x10 : ι → ι . x8 x2 = x3x8 x3 = x2x8 x4 = x5x8 x5 = x4x9 x2 = x4x9 x3 = x5x9 x4 = x2x9 x5 = x3x10 x2 = x5x10 x3 = x4x10 x4 = x3x10 x5 = x2∀ x11 : ι → ι → ι → ι → ο . (∀ x12 x13 . x0 x12x0 x13not (x11 x12 x13 x12 x13))(∀ x12 x13 x14 x15 . x11 x12 x13 x14 x15x11 x14 x15 x12 x13)(∀ x12 x13 . x0 x12x0 x13not (x11 x12 x13 x7 x7))(∀ x12 x13 x14 x15 . x0 x12x1 x13x0 x14x1 x15not (x11 x12 x13 x14 x15)not (x11 x12 (x8 x13) x14 (x8 x15)))(∀ x12 x13 x14 x15 . x0 x12x1 x13x0 x14x1 x15not (x11 x12 x13 x14 x15)not (x11 x12 (x9 x13) x14 (x9 x15)))(∀ x12 x13 x14 x15 . x0 x12x1 x13x0 x14x1 x15not (x11 x12 x13 x14 x15)not (x11 x12 (x10 x13) x14 (x10 x15)))(∀ x12 . x0 x12not (x11 x4 x7 x5 x12))(∀ x12 . x0 x12not (x11 x4 x7 x7 x12))(∀ x12 . x0 x12not (x11 x5 x7 x6 x12))(∀ x12 . x0 x12not (x11 x6 x7 x2 x12))(∀ x12 . x0 x12not (x11 x2 x3 x12 x6))(∀ x12 . x0 x12not (x11 x5 x5 x12 x7))not (x11 x2 x2 x2 x3)not (x11 x2 x2 x2 x5)not (x11 x2 x2 x3 x4)not (x11 x2 x2 x3 x5)not (x11 x2 x2 x4 x2)not (x11 x2 x2 x4 x3)not (x11 x2 x2 x5 x2)not (x11 x2 x2 x5 x5)not (x11 x2 x2 x6 x2)not (x11 x2 x2 x6 x3)not (x11 x2 x2 x7 x3)not (x11 x2 x3 x4 x2)not (x11 x2 x3 x6 x2)not (x11 x2 x3 x7 x2)not (x11 x2 x5 x2 x7)not (x11 x2 x5 x3 x2)not (x11 x2 x5 x5 x2)not (x11 x2 x5 x5 x7)not (x11 x2 x7 x3 x3)not (x11 x2 x7 x3 x7)not (x11 x2 x7 x4 x5)not (x11 x2 x7 x5 x2)not (x11 x2 x7 x6 x4)not (x11 x2 x7 x7 x3)not (x11 x2 x7 x7 x4)not (x11 x2 x7 x7 x5)not (x11 x3 x2 x4 x4)not (x11 x3 x2 x4 x7)not (x11 x3 x2 x5 x7)not (x11 x3 x2 x6 x5)not (x11 x3 x7 x4 x7)not (x11 x3 x7 x7 x3)not (x11 x3 x7 x7 x5)not (x11 x4 x2 x6 x3)not (x11 x4 x3 x6 x2)not (x11 x4 x4 x4 x7)not (x11 x4 x4 x5 x7)not (x11 x4 x7 x6 x5)not (x11 x7 x2 x7 x4)∀ x12 . x0 x12∀ x13 . x0 x13∀ x14 . x0 x14∀ x15 . x0 x15∀ x16 . x0 x16x11 x2 x3 x2 x12x11 x2 x3 x13 x14x11 x2 x3 x15 x16x11 x2 x12 x13 x14x11 x2 x12 x15 x16x11 x13 x14 x15 x16False
Known 2f8d6.. : ∀ x0 x1 : ι → ο . ∀ x2 x3 x4 x5 x6 x7 . (∀ x8 : ι → ο . x8 x2x8 x3x8 x4x8 x5x8 x6x8 x7∀ x9 . x0 x9x8 x9)x0 x2x0 x3x0 x4x0 x5x0 x6x0 x7x1 x2x1 x3x1 x4x1 x5∀ x8 x9 x10 : ι → ι . x8 x2 = x3x8 x3 = x2x8 x4 = x5x8 x5 = x4x9 x2 = x4x9 x3 = x5x9 x4 = x2x9 x5 = x3x10 x2 = x5x10 x3 = x4x10 x4 = x3x10 x5 = x2∀ x11 : ι → ι → ι → ι → ο . (∀ x12 x13 . x0 x12x0 x13not (x11 x12 x13 x12 x13))(∀ x12 x13 x14 x15 . x11 x12 x13 x14 x15x11 x14 x15 x12 x13)(∀ x12 x13 . x0 x12x0 x13not (x11 x12 x13 x7 x7))(∀ x12 x13 x14 x15 . x0 x12x1 x13x0 x14x1 x15not (x11 x12 x13 x14 x15)not (x11 x12 (x8 x13) x14 (x8 x15)))(∀ x12 x13 x14 x15 . x0 x12x1 x13x0 x14x1 x15not (x11 x12 x13 x14 x15)not (x11 x12 (x9 x13) x14 (x9 x15)))(∀ x12 x13 x14 x15 . x0 x12x1 x13x0 x14x1 x15not (x11 x12 x13 x14 x15)not (x11 x12 (x10 x13) x14 (x10 x15)))(∀ x12 . x0 x12not (x11 x4 x7 x5 x12))(∀ x12 . x0 x12not (x11 x5 x7 x6 x12))(∀ x12 . x0 x12not (x11 x6 x7 x2 x12))(∀ x12 . x0 x12not (x11 x2 x3 x12 x6))(∀ x12 . x0 x12not (x11 x5 x5 x12 x7))not (x11 x2 x2 x2 x3)not (x11 x2 x2 x2 x5)not (x11 x2 x2 x3 x4)not (x11 x2 x2 x3 x5)not (x11 x2 x2 x4 x2)not (x11 x2 x2 x4 x3)not (x11 x2 x2 x5 x2)not (x11 x2 x2 x5 x5)not (x11 x2 x2 x6 x2)not (x11 x2 x2 x7 x3)not (x11 x2 x3 x4 x2)not (x11 x2 x3 x6 x2)not (x11 x2 x3 x7 x2)not (x11 x2 x4 x3 x2)not (x11 x2 x5 x3 x2)not (x11 x2 x5 x5 x7)not (x11 x2 x7 x3 x3)not (x11 x2 x7 x3 x7)not (x11 x2 x7 x6 x4)not (x11 x2 x7 x7 x3)not (x11 x3 x2 x3 x3)not (x11 x3 x2 x4 x4)not (x11 x3 x2 x4 x5)not (x11 x3 x2 x4 x7)not (x11 x3 x2 x5 x2)not (x11 x3 x2 x5 x7)not (x11 x3 x2 x6 x5)not (x11 x3 x2 x7 x2)not (x11 x3 x2 x7 x4)not (x11 x3 x2 x7 x5)not (x11 x3 x3 x3 x7)not (x11 x3 x7 x4 x5)not (x11 x3 x7 x4 x7)not (x11 x3 x7 x5 x2)not (x11 x3 x7 x6 x4)not (x11 x3 x7 x6 x5)not (x11 x3 x7 x7 x3)not (x11 x3 x7 x7 x5)not (x11 x4 x2 x7 x2)not (x11 x4 x4 x5 x7)not (x11 x4 x7 x6 x5)not (x11 x5 x2 x5 x5)not (x11 x5 x2 x5 x7)not (x11 x5 x2 x6 x2)not (x11 x5 x2 x6 x3)not (x11 x5 x2 x6 x5)not (x11 x5 x2 x7 x4)not (x11 x5 x3 x6 x2)not (x11 x5 x4 x7 x2)not (x11 x5 x7 x7 x4)not (x11 x6 x2 x7 x5)not (x11 x6 x5 x7 x2)∀ x12 . x0 x12∀ x13 . x0 x13∀ x14 . x0 x14∀ x15 . x0 x15∀ x16 . x0 x16x11 x2 x3 x3 x12x11 x2 x3 x13 x14x11 x2 x3 x15 x16x11 x3 x12 x13 x14x11 x3 x12 x15 x16x11 x13 x14 x15 x16False
Known 9087a.. : ∀ x0 x1 : ι → ο . ∀ x2 x3 x4 x5 x6 x7 . (∀ x8 : ι → ο . x8 x2x8 x3x8 x4x8 x5x8 x6x8 x7∀ x9 . x0 x9x8 x9)x0 x2x0 x3x0 x4x0 x5x0 x6x0 x7x1 x2x1 x3x1 x4x1 x5∀ x8 x9 x10 : ι → ι . x8 x2 = x3x8 x3 = x2x8 x4 = x5x8 x5 = x4x9 x2 = x4x9 x3 = x5x9 x4 = x2x9 x5 = x3x10 x2 = x5x10 x3 = x4x10 x4 = x3x10 x5 = x2∀ x11 : ι → ι → ι → ι → ο . (∀ x12 x13 . x0 x12x0 x13not (x11 x12 x13 x12 x13))(∀ x12 x13 x14 x15 . x11 x12 x13 x14 x15x11 x14 x15 x12 x13)(∀ x12 x13 . x0 x12x0 x13not (x11 x12 x13 x7 x7))(∀ x12 x13 x14 x15 . x0 x12x1 x13x0 x14x1 x15not (x11 x12 x13 x14 x15)not (x11 x12 (x8 x13) x14 (x8 x15)))(∀ x12 x13 x14 x15 . x0 x12x1 x13x0 x14x1 x15not (x11 x12 x13 x14 x15)not (x11 x12 (x9 x13) x14 (x9 x15)))(∀ x12 x13 x14 x15 . x0 x12x1 x13x0 x14x1 x15not (x11 x12 x13 x14 x15)not (x11 x12 (x10 x13) x14 (x10 x15)))(∀ x12 . x0 x12not (x11 x4 x7 x5 x12))(∀ x12 . x0 x12not (x11 x4 x7 x7 x12))(∀ x12 . x0 x12not (x11 x6 x7 x2 x12))(∀ x12 . x0 x12not (x11 x2 x3 x12 x6))(∀ x12 . x0 x12not (x11 x5 x5 x12 x7))not (x11 x2 x2 x2 x3)not (x11 x2 x2 x2 x5)not (x11 x2 x2 x3 x4)not (x11 x2 x2 x3 x5)not (x11 x2 x2 x4 x2)not (x11 x2 x2 x5 x2)not (x11 x2 x2 x5 x5)not (x11 x2 x2 x6 x2)not (x11 x2 x2 x6 x3)not (x11 x2 x3 x4 x2)not (x11 x2 x3 x6 x2)not (x11 x2 x3 x7 x2)not (x11 x2 x4 x3 x2)not (x11 x2 x5 x2 x7)not (x11 x2 x7 x3 x3)not (x11 x2 x7 x3 x7)not (x11 x2 x7 x4 x5)not (x11 x2 x7 x5 x2)not (x11 x2 x7 x6 x4)not (x11 x3 x2 x4 x4)not (x11 x3 x2 x4 x5)not (x11 x3 x2 x4 x7)not (x11 x3 x2 x6 x5)not (x11 x3 x4 x4 x2)not (x11 x3 x5 x4 x2)not (x11 x3 x5 x6 x2)not (x11 x3 x7 x4 x5)not (x11 x3 x7 x4 x7)not (x11 x3 x7 x5 x2)not (x11 x4 x2 x5 x2)not (x11 x4 x2 x6 x2)not (x11 x4 x2 x6 x3)not (x11 x4 x2 x7 x2)not (x11 x4 x2 x7 x3)not (x11 x4 x2 x7 x5)not (x11 x4 x3 x6 x2)not (x11 x4 x4 x4 x7)not (x11 x4 x4 x5 x7)not (x11 x4 x5 x5 x2)not (x11 x4 x5 x7 x2)not (x11 x4 x7 x6 x5)not (x11 x5 x2 x5 x5)not (x11 x5 x7 x7 x3)∀ x12 . x0 x12∀ x13 . x0 x13∀ x14 . x0 x14∀ x15 . x0 x15∀ x16 . x0 x16x11 x2 x3 x4 x12x11 x2 x3 x13 x14x11 x2 x3 x15 x16x11 x4 x12 x13 x14x11 x4 x12 x15 x16x11 x13 x14 x15 x16False
Known 626d5.. : ∀ x0 x1 : ι → ο . ∀ x2 x3 x4 x5 x6 x7 . (∀ x8 : ι → ο . x8 x2x8 x3x8 x4x8 x5x8 x6x8 x7∀ x9 . x0 x9x8 x9)x0 x2x0 x3x0 x4x0 x5x0 x6x0 x7x1 x2x1 x3x1 x4x1 x5∀ x8 x9 x10 : ι → ι . x8 x2 = x3x8 x3 = x2x8 x4 = x5x8 x5 = x4x9 x2 = x4x9 x3 = x5x9 x4 = x2x9 x5 = x3x10 x2 = x5x10 x3 = x4x10 x4 = x3x10 x5 = x2∀ x11 : ι → ι → ι → ι → ο . (∀ x12 x13 . x0 x12x0 x13not (x11 x12 x13 x12 x13))(∀ x12 x13 x14 x15 . x11 x12 x13 x14 x15x11 x14 x15 x12 x13)(∀ x12 x13 . x0 x12x0 x13not (x11 x12 x13 x7 x7))(∀ x12 x13 x14 x15 . x0 x12x1 x13x0 x14x1 x15not (x11 x12 x13 x14 x15)not (x11 x12 (x8 x13) x14 (x8 x15)))(∀ x12 x13 x14 x15 . x0 x12x1 x13x0 x14x1 x15not (x11 x12 x13 x14 x15)not (x11 x12 (x9 x13) x14 (x9 x15)))(∀ x12 x13 x14 x15 . x0 x12x1 x13x0 x14x1 x15not (x11 x12 x13 x14 x15)not (x11 x12 (x10 x13) x14 (x10 x15)))(∀ x12 . x0 x12not (x11 x4 x7 x5 x12))(∀ x12 . x0 x12not (x11 x5 x7 x6 x12))(∀ x12 . x0 x12not (x11 x6 x7 x2 x12))(∀ x12 . x0 x12not (x11 x2 x3 x12 x6))(∀ x12 . x0 x12not (x11 x5 x5 x12 x7))not (x11 x2 x2 x2 x3)not (x11 x2 x2 x2 x5)not (x11 x2 x2 x3 x4)not (x11 x2 x2 x3 x5)not (x11 x2 x2 x4 x2)not (x11 x2 x2 x5 x2)not (x11 x2 x2 x5 x5)not (x11 x2 x2 x6 x2)not (x11 x2 x3 x4 x2)not (x11 x2 x3 x6 x2)not (x11 x2 x3 x7 x2)not (x11 x2 x5 x5 x2)not (x11 x2 x5 x5 x7)not (x11 x2 x7 x3 x3)not (x11 x2 x7 x3 x7)not (x11 x2 x7 x4 x5)not (x11 x2 x7 x5 x2)not (x11 x2 x7 x7 x5)not (x11 x3 x2 x3 x3)not (x11 x3 x2 x4 x4)not (x11 x3 x2 x4 x5)not (x11 x3 x2 x5 x2)not (x11 x3 x2 x5 x7)not (x11 x3 x2 x6 x5)not (x11 x3 x2 x7 x2)not (x11 x3 x2 x7 x4)not (x11 x3 x2 x7 x5)not (x11 x3 x3 x3 x7)not (x11 x3 x4 x4 x2)not (x11 x3 x4 x7 x2)not (x11 x3 x5 x4 x2)not (x11 x3 x5 x6 x2)not (x11 x3 x5 x7 x2)not (x11 x3 x7 x4 x5)not (x11 x3 x7 x5 x2)not (x11 x3 x7 x7 x5)not (x11 x4 x2 x5 x2)not (x11 x4 x2 x6 x2)not (x11 x4 x2 x7 x2)not (x11 x4 x2 x7 x3)not (x11 x4 x2 x7 x5)not (x11 x4 x3 x7 x2)not (x11 x4 x4 x5 x7)not (x11 x4 x5 x5 x2)not (x11 x4 x5 x7 x2)not (x11 x5 x2 x5 x5)not (x11 x5 x2 x5 x7)not (x11 x5 x2 x6 x2)not (x11 x5 x2 x6 x3)not (x11 x5 x2 x6 x5)not (x11 x5 x2 x7 x4)not (x11 x5 x2 x7 x5)not (x11 x5 x7 x7 x3)not (x11 x5 x7 x7 x4)not (x11 x6 x2 x7 x5)not (x11 x6 x5 x7 x2)not (x11 x7 x2 x7 x3)∀ x12 . x0 x12∀ x13 . x0 x13∀ x14 . x0 x14∀ x15 . x0 x15∀ x16 . x0 x16x11 x2 x3 x5 x12x11 x2 x3 x13 x14x11 x2 x3 x15 x16x11 x5 x12 x13 x14x11 x5 x12 x15 x16x11 x13 x14 x15 x16False
Known e7c79.. : ∀ x0 x1 : ι → ο . ∀ x2 x3 x4 x5 x6 x7 . (∀ x8 : ι → ο . x8 x2x8 x3x8 x4x8 x5x8 x6x8 x7∀ x9 . x0 x9x8 x9)x0 x2x0 x3x0 x4x0 x5x0 x6x0 x7x1 x2x1 x3x1 x4x1 x5∀ x8 x9 x10 : ι → ι . x8 x2 = x3x8 x3 = x2x8 x4 = x5x8 x5 = x4x9 x2 = x4x9 x3 = x5x9 x4 = x2x9 x5 = x3x10 x2 = x5x10 x3 = x4x10 x4 = x3x10 x5 = x2∀ x11 : ι → ι → ι → ι → ο . (∀ x12 x13 . x0 x12x0 x13not (x11 x12 x13 x12 x13))(∀ x12 x13 x14 x15 . x11 x12 x13 x14 x15x11 x14 x15 x12 x13)(∀ x12 x13 . x0 x12x0 x13not (x11 x12 x13 x7 x7))(∀ x12 x13 x14 x15 . x0 x12x1 x13x0 x14x1 x15not (x11 x12 x13 x14 x15)not (x11 x12 (x8 x13) x14 (x8 x15)))(∀ x12 x13 x14 x15 . x0 x12x1 x13x0 x14x1 x15not (x11 x12 x13 x14 x15)not (x11 x12 (x9 x13) x14 (x9 x15)))(∀ x12 x13 x14 x15 . x0 x12x1 x13x0 x14x1 x15not (x11 x12 x13 x14 x15)not (x11 x12 (x10 x13) x14 (x10 x15)))(∀ x12 . x0 x12not (x11 x4 x7 x5 x12))(∀ x12 . x0 x12not (x11 x4 x7 x7 x12))(∀ x12 . x0 x12not (x11 x5 x7 x6 x12))(∀ x12 . x0 x12not (x11 x6 x7 x2 x12))(∀ x12 . x0 x12not (x11 x2 x3 x12 x6))not (x11 x2 x2 x2 x3)not (x11 x2 x2 x2 x5)not (x11 x2 x2 x3 x4)not (x11 x2 x2 x3 x5)not (x11 x2 x2 x4 x2)not (x11 x2 x2 x5 x2)not (x11 x2 x2 x5 x5)not (x11 x2 x2 x6 x2)not (x11 x2 x3 x4 x2)not (x11 x2 x3 x6 x2)not (x11 x2 x3 x7 x2)not (x11 x2 x7 x3 x3)not (x11 x2 x7 x6 x4)not (x11 x2 x7 x7 x4)not (x11 x2 x7 x7 x5)not (x11 x3 x2 x4 x7)not (x11 x3 x2 x5 x2)not (x11 x3 x2 x6 x5)not (x11 x3 x2 x7 x4)not (x11 x3 x2 x7 x5)not (x11 x3 x4 x7 x2)not (x11 x3 x5 x6 x2)not (x11 x3 x5 x7 x2)not (x11 x3 x7 x6 x4)not (x11 x3 x7 x6 x5)not (x11 x4 x2 x6 x2)not (x11 x4 x3 x6 x2)not (x11 x4 x7 x6 x5)not (x11 x5 x2 x6 x2)not (x11 x5 x2 x6 x5)not (x11 x5 x2 x7 x4)not (x11 x5 x2 x7 x5)not (x11 x5 x3 x6 x2)not (x11 x6 x2 x6 x3)not (x11 x6 x2 x7 x4)not (x11 x6 x2 x7 x5)not (x11 x7 x2 x7 x3)∀ x12 . x0 x12∀ x13 . x0 x13∀ x14 . x0 x14∀ x15 . x0 x15∀ x16 . x0 x16x11 x2 x3 x6 x12x11 x2 x3 x13 x14x11 x2 x3 x15 x16x11 x6 x12 x13 x14x11 x6 x12 x15 x16x11 x13 x14 x15 x16False
Known a2471.. : ∀ x0 x1 : ι → ο . ∀ x2 x3 x4 x5 x6 x7 . (∀ x8 : ι → ο . x8 x2x8 x3x8 x4x8 x5x8 x6x8 x7∀ x9 . x0 x9x8 x9)x0 x2x0 x3x0 x4x0 x5x0 x6x0 x7x1 x2x1 x3x1 x4x1 x5∀ x8 x9 x10 : ι → ι . x8 x2 = x3x8 x3 = x2x8 x4 = x5x8 x5 = x4x9 x2 = x4x9 x3 = x5x9 x4 = x2x9 x5 = x3x10 x2 = x5x10 x3 = x4x10 x4 = x3x10 x5 = x2∀ x11 : ι → ι → ι → ι → ο . (∀ x12 x13 . x0 x12x0 x13not (x11 x12 x13 x12 x13))(∀ x12 x13 x14 x15 . x11 x12 x13 x14 x15x11 x14 x15 x12 x13)(∀ x12 x13 . x0 x12x0 x13not (x11 x12 x13 x7 x7))(∀ x12 x13 x14 x15 . x0 x12x1 x13x0 x14x1 x15not (x11 x12 x13 x14 x15)not (x11 x12 (x8 x13) x14 (x8 x15)))(∀ x12 x13 x14 x15 . x0 x12x1 x13x0 x14x1 x15not (x11 x12 x13 x14 x15)not (x11 x12 (x9 x13) x14 (x9 x15)))(∀ x12 x13 x14 x15 . x0 x12x1 x13x0 x14x1 x15not (x11 x12 x13 x14 x15)not (x11 x12 (x10 x13) x14 (x10 x15)))(∀ x12 . x0 x12not (x11 x4 x7 x7 x12))(∀ x12 . x0 x12not (x11 x5 x7 x6 x12))(∀ x12 . x0 x12not (x11 x6 x7 x2 x12))(∀ x12 . x0 x12not (x11 x2 x3 x12 x6))(∀ x12 . x0 x12not (x11 x5 x5 x12 x7))not (x11 x2 x2 x2 x3)not (x11 x2 x2 x2 x5)not (x11 x2 x2 x3 x4)not (x11 x2 x2 x3 x5)not (x11 x2 x2 x4 x2)not (x11 x2 x2 x5 x2)not (x11 x2 x2 x5 x5)not (x11 x2 x2 x6 x2)not (x11 x2 x2 x6 x3)not (x11 x2 x2 x7 x3)not (x11 x2 x3 x4 x2)not (x11 x2 x3 x6 x2)not (x11 x2 x3 x7 x2)not (x11 x2 x5 x3 x2)not (x11 x2 x5 x5 x2)not (x11 x2 x5 x5 x7)not (x11 x2 x7 x7 x3)not (x11 x2 x7 x7 x4)not (x11 x2 x7 x7 x5)not (x11 x3 x2 x4 x5)not (x11 x3 x2 x5 x2)not (x11 x3 x2 x7 x2)not (x11 x3 x2 x7 x4)not (x11 x3 x2 x7 x5)not (x11 x3 x4 x7 x2)not (x11 x3 x5 x7 x2)not (x11 x3 x7 x6 x4)not (x11 x3 x7 x6 x5)not (x11 x3 x7 x7 x3)not (x11 x3 x7 x7 x5)not (x11 x4 x2 x7 x2)not (x11 x4 x2 x7 x3)not (x11 x4 x3 x7 x2)not (x11 x4 x5 x5 x2)not (x11 x4 x5 x7 x2)not (x11 x5 x2 x6 x2)not (x11 x5 x2 x6 x3)not (x11 x5 x2 x7 x4)not (x11 x5 x2 x7 x5)not (x11 x5 x3 x6 x2)not (x11 x5 x4 x7 x2)not (x11 x5 x7 x7 x3)not (x11 x5 x7 x7 x4)not (x11 x6 x2 x6 x3)not (x11 x6 x2 x7 x4)not (x11 x6 x2 x7 x5)not (x11 x6 x4 x7 x2)not (x11 x6 x5 x7 x2)not (x11 x7 x2 x7 x3)not (x11 x7 x2 x7 x4)∀ x12 . x0 x12∀ x13 . x0 x13∀ x14 . x0 x14∀ x15 . x0 x15∀ x16 . x0 x16x11 x2 x3 x7 x12x11 x2 x3 x13 x14x11 x2 x3 x15 x16x11 x7 x12 x13 x14x11 x7 x12 x15 x16x11 x13 x14 x15 x16False
Known 1a14c.. : ∀ x0 x1 : ι → ο . ∀ x2 x3 x4 x5 x6 x7 . (∀ x8 : ι → ο . x8 x2x8 x3x8 x4x8 x5x8 x6x8 x7∀ x9 . x0 x9x8 x9)x0 x2x0 x3x0 x4x0 x5x0 x6x0 x7x1 x2x1 x3x1 x4x1 x5∀ x8 x9 x10 : ι → ι . x8 x2 = x3x8 x3 = x2x8 x4 = x5x8 x5 = x4x9 x2 = x4x9 x3 = x5x9 x4 = x2x9 x5 = x3x10 x2 = x5x10 x3 = x4x10 x4 = x3x10 x5 = x2∀ x11 : ι → ι → ι → ι → ο . (∀ x12 x13 . x0 x12x0 x13not (x11 x12 x13 x12 x13))(∀ x12 x13 x14 x15 . x11 x12 x13 x14 x15x11 x14 x15 x12 x13)(∀ x12 x13 . x0 x12x0 x13not (x11 x12 x13 x7 x7))(∀ x12 x13 x14 x15 . x0 x12x1 x13x0 x14x1 x15not (x11 x12 x13 x14 x15)not (x11 x12 (x8 x13) x14 (x8 x15)))(∀ x12 x13 x14 x15 . x0 x12x1 x13x0 x14x1 x15not (x11 x12 x13 x14 x15)not (x11 x12 (x9 x13) x14 (x9 x15)))(∀ x12 x13 x14 x15 . x0 x12x1 x13x0 x14x1 x15not (x11 x12 x13 x14 x15)not (x11 x12 (x10 x13) x14 (x10 x15)))(∀ x12 . x0 x12not (x11 x4 x6 x5 x12))(∀ x12 . x0 x12not (x11 x4 x6 x7 x12))(∀ x12 . x0 x12not (x11 x5 x7 x6 x12))(∀ x12 . x0 x12not (x11 x6 x6 x2 x12))(∀ x12 . x0 x12not (x11 x6 x7 x2 x12))(∀ x12 . x0 x12not (x11 x2 x2 x12 x7))(∀ x12 . x0 x12not (x11 x5 x5 x12 x7))(∀ x12 . x0 x12not (x11 x6 x2 x12 x6))(∀ x12 . x0 x12not (x11 x6 x3 x12 x7))not (x11 x2 x2 x2 x3)not (x11 x2 x2 x2 x5)not (x11 x2 x2 x3 x4)not (x11 x2 x2 x3 x5)not (x11 x2 x2 x4 x2)not (x11 x2 x2 x4 x3)not (x11 x2 x2 x5 x2)not (x11 x2 x2 x5 x5)not (x11 x2 x2 x6 x2)not (x11 x2 x2 x6 x3)not (x11 x2 x2 x7 x3)not (x11 x2 x4 x2 x6)not (x11 x2 x4 x3 x2)not (x11 x2 x4 x3 x7)not (x11 x2 x4 x4 x7)not (x11 x2 x4 x5 x6)not (x11 x2 x4 x7 x6)not (x11 x2 x7 x3 x4)not (x11 x2 x7 x3 x6)not (x11 x2 x7 x4 x2)not (x11 x2 x7 x5 x2)not (x11 x2 x7 x7 x2)not (x11 x2 x7 x7 x3)not (x11 x2 x7 x7 x4)not (x11 x3 x2 x4 x4)not (x11 x3 x4 x4 x2)not (x11 x3 x5 x4 x6)not (x11 x3 x5 x5 x7)not (x11 x3 x5 x6 x2)not (x11 x3 x6 x4 x6)not (x11 x3 x6 x7 x2)not (x11 x3 x6 x7 x4)not (x11 x4 x3 x4 x6)not (x11 x4 x3 x5 x7)not (x11 x4 x3 x6 x2)not (x11 x7 x2 x7 x4)∀ x12 . x0 x12∀ x13 . x0 x13∀ x14 . x0 x14∀ x15 . x0 x15∀ x16 . x0 x16x11 x2 x4 x2 x12x11 x2 x4 x13 x14x11 x2 x4 x15 x16x11 x2 x12 x13 x14x11 x2 x12 x15 x16x11 x13 x14 x15 x16False
Known d8067.. : ∀ x0 x1 : ι → ο . ∀ x2 x3 x4 x5 x6 x7 . (∀ x8 : ι → ο . x8 x2x8 x3x8 x4x8 x5x8 x6x8 x7∀ x9 . x0 x9x8 x9)x0 x2x0 x3x0 x4x0 x5x0 x6x0 x7x1 x2x1 x3x1 x4x1 x5∀ x8 x9 x10 : ι → ι . x8 x2 = x3x8 x3 = x2x8 x4 = x5x8 x5 = x4x9 x2 = x4x9 x3 = x5x9 x4 = x2x9 x5 = x3x10 x2 = x5x10 x3 = x4x10 x4 = x3x10 x5 = x2∀ x11 : ι → ι → ι → ι → ο . (∀ x12 x13 . x0 x12x0 x13not (x11 x12 x13 x12 x13))(∀ x12 x13 x14 x15 . x11 x12 x13 x14 x15x11 x14 x15 x12 x13)(∀ x12 x13 . x0 x12x0 x13not (x11 x12 x13 x7 x7))(∀ x12 x13 x14 x15 . x0 x12x1 x13x0 x14x1 x15not (x11 x12 x13 x14 x15)not (x11 x12 (x8 x13) x14 (x8 x15)))(∀ x12 x13 x14 x15 . x0 x12x1 x13x0 x14x1 x15not (x11 x12 x13 x14 x15)not (x11 x12 (x9 x13) x14 (x9 x15)))(∀ x12 x13 x14 x15 . x0 x12x1 x13x0 x14x1 x15not (x11 x12 x13 x14 x15)not (x11 x12 (x10 x13) x14 (x10 x15)))(∀ x12 . x0 x12not (x11 x4 x6 x5 x12))(∀ x12 . x0 x12not (x11 x5 x7 x6 x12))(∀ x12 . x0 x12not (x11 x6 x6 x2 x12))(∀ x12 . x0 x12not (x11 x6 x7 x2 x12))(∀ x12 . x0 x12not (x11 x2 x2 x12 x7))(∀ x12 . x0 x12not (x11 x5 x5 x12 x7))(∀ x12 . x0 x12not (x11 x6 x2 x12 x6))(∀ x12 . x0 x12not (x11 x6 x3 x12 x7))not (x11 x2 x2 x2 x3)not (x11 x2 x2 x2 x5)not (x11 x2 x2 x3 x4)not (x11 x2 x2 x3 x5)not (x11 x2 x2 x4 x2)not (x11 x2 x2 x4 x3)not (x11 x2 x2 x5 x2)not (x11 x2 x2 x5 x5)not (x11 x2 x2 x6 x2)not (x11 x2 x2 x6 x3)not (x11 x2 x2 x7 x3)not (x11 x2 x4 x2 x6)not (x11 x2 x4 x3 x2)not (x11 x2 x4 x3 x7)not (x11 x2 x4 x4 x7)not (x11 x2 x4 x5 x6)not (x11 x2 x4 x7 x6)not (x11 x2 x7 x3 x4)not (x11 x2 x7 x3 x6)not (x11 x2 x7 x5 x2)not (x11 x2 x7 x7 x4)not (x11 x3 x2 x3 x3)not (x11 x3 x2 x4 x4)not (x11 x3 x2 x4 x5)not (x11 x3 x2 x5 x2)not (x11 x3 x2 x6 x5)not (x11 x3 x2 x7 x2)not (x11 x3 x2 x7 x4)not (x11 x3 x2 x7 x5)not (x11 x3 x4 x3 x6)not (x11 x3 x4 x4 x2)not (x11 x3 x4 x7 x2)not (x11 x3 x5 x4 x2)not (x11 x3 x5 x4 x6)not (x11 x3 x5 x5 x7)not (x11 x3 x5 x6 x2)not (x11 x3 x5 x7 x2)not (x11 x3 x6 x4 x2)not (x11 x3 x6 x4 x6)not (x11 x3 x6 x5 x2)not (x11 x3 x6 x5 x5)not (x11 x3 x6 x6 x3)not (x11 x3 x6 x7 x2)not (x11 x3 x6 x7 x4)not (x11 x4 x2 x7 x2)not (x11 x4 x3 x5 x7)not (x11 x5 x2 x5 x5)not (x11 x5 x2 x5 x7)not (x11 x5 x2 x6 x2)not (x11 x5 x2 x6 x3)not (x11 x5 x2 x7 x4)not (x11 x5 x5 x6 x2)not (x11 x5 x7 x7 x3)not (x11 x6 x2 x7 x5)not (x11 x6 x5 x7 x2)∀ x12 . x0 x12∀ x13 . x0 x13∀ x14 . x0 x14∀ x15 . x0 x15∀ x16 . x0 x16x11 x2 x4 x3 x12x11 x2 x4 x13 x14x11 x2 x4 x15 x16x11 x3 x12 x13 x14x11 x3 x12 x15 x16x11 x13 x14 x15 x16False
Known dab7b.. : ∀ x0 x1 : ι → ο . ∀ x2 x3 x4 x5 x6 x7 . (∀ x8 : ι → ο . x8 x2x8 x3x8 x4x8 x5x8 x6x8 x7∀ x9 . x0 x9x8 x9)x0 x2x0 x3x0 x4x0 x5x0 x6x0 x7x1 x2x1 x3x1 x4x1 x5∀ x8 x9 x10 : ι → ι . x8 x2 = x3x8 x3 = x2x8 x4 = x5x8 x5 = x4x9 x2 = x4x9 x3 = x5x9 x4 = x2x9 x5 = x3x10 x2 = x5x10 x3 = x4x10 x4 = x3x10 x5 = x2∀ x11 : ι → ι → ι → ι → ο . (∀ x12 x13 . x0 x12x0 x13not (x11 x12 x13 x12 x13))(∀ x12 x13 x14 x15 . x11 x12 x13 x14 x15x11 x14 x15 x12 x13)(∀ x12 x13 . x0 x12x0 x13not (x11 x12 x13 x7 x7))(∀ x12 x13 x14 x15 . x0 x12x1 x13x0 x14x1 x15not (x11 x12 x13 x14 x15)not (x11 x12 (x8 x13) x14 (x8 x15)))(∀ x12 x13 x14 x15 . x0 x12x1 x13x0 x14x1 x15not (x11 x12 x13 x14 x15)not (x11 x12 (x9 x13) x14 (x9 x15)))(∀ x12 x13 x14 x15 . x0 x12x1 x13x0 x14x1 x15not (x11 x12 x13 x14 x15)not (x11 x12 (x10 x13) x14 (x10 x15)))(∀ x12 . x0 x12not (x11 x4 x6 x5 x12))(∀ x12 . x0 x12not (x11 x4 x6 x7 x12))(∀ x12 . x0 x12not (x11 x6 x6 x2 x12))(∀ x12 . x0 x12not (x11 x6 x7 x2 x12))(∀ x12 . x0 x12not (x11 x2 x2 x12 x7))(∀ x12 . x0 x12not (x11 x5 x5 x12 x7))(∀ x12 . x0 x12not (x11 x6 x2 x12 x6))(∀ x12 . x0 x12not (x11 x6 x3 x12 x7))not (x11 x2 x2 x2 x3)not (x11 x2 x2 x2 x5)not (x11 x2 x2 x3 x4)not (x11 x2 x2 x3 x5)not (x11 x2 x2 x4 x2)not (x11 x2 x2 x4 x3)not (x11 x2 x2 x5 x2)not (x11 x2 x2 x5 x5)not (x11 x2 x2 x6 x2)not (x11 x2 x2 x6 x3)not (x11 x2 x2 x7 x3)not (x11 x2 x4 x2 x6)not (x11 x2 x4 x3 x2)not (x11 x2 x4 x3 x7)not (x11 x2 x4 x4 x7)not (x11 x2 x4 x5 x6)not (x11 x2 x4 x7 x6)not (x11 x2 x7 x3 x4)not (x11 x2 x7 x3 x6)not (x11 x2 x7 x4 x2)not (x11 x2 x7 x5 x2)not (x11 x3 x2 x6 x5)not (x11 x3 x4 x4 x2)not (x11 x3 x5 x4 x2)not (x11 x3 x5 x4 x6)not (x11 x3 x5 x6 x2)not (x11 x3 x6 x4 x2)not (x11 x3 x6 x4 x6)not (x11 x3 x6 x5 x2)not (x11 x3 x6 x5 x5)not (x11 x4 x2 x5 x2)not (x11 x4 x2 x5 x5)not (x11 x4 x2 x6 x2)not (x11 x4 x2 x6 x3)not (x11 x4 x2 x7 x2)not (x11 x4 x2 x7 x3)not (x11 x4 x2 x7 x5)not (x11 x4 x3 x4 x6)not (x11 x4 x3 x5 x7)not (x11 x4 x3 x6 x2)not (x11 x4 x3 x7 x2)not (x11 x4 x5 x7 x2)not (x11 x5 x2 x5 x5)not (x11 x5 x7 x7 x4)∀ x12 . x0 x12∀ x13 . x0 x13∀ x14 . x0 x14∀ x15 . x0 x15∀ x16 . x0 x16x11 x2 x4 x4 x12x11 x2 x4 x13 x14x11 x2 x4 x15 x16x11 x4 x12 x13 x14x11 x4 x12 x15 x16x11 x13 x14 x15 x16False
Known e8380.. : ∀ x0 x1 : ι → ο . ∀ x2 x3 x4 x5 x6 x7 . (∀ x8 : ι → ο . x8 x2x8 x3x8 x4x8 x5x8 x6x8 x7∀ x9 . x0 x9x8 x9)x0 x2x0 x3x0 x4x0 x5x0 x6x0 x7x1 x2x1 x3x1 x4x1 x5∀ x8 x9 x10 : ι → ι . x8 x2 = x3x8 x3 = x2x8 x4 = x5x8 x5 = x4x9 x2 = x4x9 x3 = x5x9 x4 = x2x9 x5 = x3x10 x2 = x5x10 x3 = x4x10 x4 = x3x10 x5 = x2∀ x11 : ι → ι → ι → ι → ο . (∀ x12 x13 . x0 x12x0 x13not (x11 x12 x13 x12 x13))(∀ x12 x13 x14 x15 . x11 x12 x13 x14 x15x11 x14 x15 x12 x13)(∀ x12 x13 . x0 x12x0 x13not (x11 x12 x13 x7 x7))(∀ x12 x13 x14 x15 . x0 x12x1 x13x0 x14x1 x15not (x11 x12 x13 x14 x15)not (x11 x12 (x8 x13) x14 (x8 x15)))(∀ x12 x13 x14 x15 . x0 x12x1 x13x0 x14x1 x15not (x11 x12 x13 x14 x15)not (x11 x12 (x9 x13) x14 (x9 x15)))(∀ x12 x13 x14 x15 . x0 x12x1 x13x0 x14x1 x15not (x11 x12 x13 x14 x15)not (x11 x12 (x10 x13) x14 (x10 x15)))(∀ x12 . x0 x12not (x11 x4 x6 x5 x12))(∀ x12 . x0 x12not (x11 x5 x7 x6 x12))(∀ x12 . x0 x12not (x11 x6 x6 x2 x12))(∀ x12 . x0 x12not (x11 x6 x7 x2 x12))(∀ x12 . x0 x12not (x11 x2 x2 x12 x7))(∀ x12 . x0 x12not (x11 x5 x5 x12 x7))not (x11 x2 x2 x2 x3)not (x11 x2 x2 x2 x5)not (x11 x2 x2 x3 x5)not (x11 x2 x2 x4 x2)not (x11 x2 x2 x4 x3)not (x11 x2 x2 x5 x2)not (x11 x2 x2 x5 x5)not (x11 x2 x2 x6 x2)not (x11 x2 x2 x6 x3)not (x11 x2 x2 x7 x3)not (x11 x2 x4 x2 x6)not (x11 x2 x4 x3 x2)not (x11 x2 x4 x3 x7)not (x11 x2 x4 x4 x7)not (x11 x2 x4 x5 x6)not (x11 x2 x4 x7 x6)not (x11 x2 x7 x3 x4)not (x11 x2 x7 x3 x6)not (x11 x2 x7 x4 x2)not (x11 x2 x7 x5 x2)not (x11 x2 x7 x7 x2)not (x11 x3 x2 x3 x3)not (x11 x3 x2 x4 x4)not (x11 x3 x2 x4 x5)not (x11 x3 x2 x5 x2)not (x11 x3 x2 x6 x5)not (x11 x3 x2 x7 x2)not (x11 x3 x2 x7 x4)not (x11 x3 x2 x7 x5)not (x11 x3 x4 x3 x6)not (x11 x3 x4 x4 x2)not (x11 x3 x4 x7 x2)not (x11 x3 x5 x4 x2)not (x11 x3 x5 x5 x7)not (x11 x3 x5 x6 x2)not (x11 x3 x5 x7 x2)not (x11 x3 x6 x4 x2)not (x11 x3 x6 x5 x2)not (x11 x3 x6 x5 x5)not (x11 x3 x6 x7 x2)not (x11 x4 x2 x5 x2)not (x11 x4 x2 x5 x5)not (x11 x4 x2 x6 x2)not (x11 x4 x2 x7 x2)not (x11 x4 x2 x7 x5)not (x11 x4 x3 x5 x7)not (x11 x4 x3 x7 x2)not (x11 x4 x5 x7 x2)not (x11 x5 x2 x5 x5)not (x11 x5 x2 x5 x7)not (x11 x5 x2 x6 x2)not (x11 x5 x2 x6 x3)not (x11 x5 x2 x7 x4)not (x11 x5 x5 x6 x2)not (x11 x5 x5 x7 x2)not (x11 x5 x7 x7 x3)not (x11 x5 x7 x7 x4)not (x11 x6 x2 x7 x5)not (x11 x6 x5 x7 x2)not (x11 x7 x2 x7 x3)∀ x12 . x0 x12∀ x13 . x0 x13∀ x14 . x0 x14∀ x15 . x0 x15∀ x16 . x0 x16x11 x2 x4 x5 x12x11 x2 x4 x13 x14x11 x2 x4 x15 x16x11 x5 x12 x13 x14x11 x5 x12 x15 x16x11 x13 x14 x15 x16False
Known 84285.. : ∀ x0 x1 : ι → ο . ∀ x2 x3 x4 x5 x6 x7 . (∀ x8 : ι → ο . x8 x2x8 x3x8 x4x8 x5x8 x6x8 x7∀ x9 . x0 x9x8 x9)x0 x2x0 x3x0 x4x0 x5x0 x6x0 x7x1 x2x1 x3x1 x4x1 x5∀ x8 x9 x10 : ι → ι . x8 x2 = x3x8 x3 = x2x8 x4 = x5x8 x5 = x4x9 x2 = x4x9 x3 = x5x9 x4 = x2x9 x5 = x3x10 x2 = x5x10 x3 = x4x10 x4 = x3x10 x5 = x2∀ x11 : ι → ι → ι → ι → ο . (∀ x12 x13 . x0 x12x0 x13not (x11 x12 x13 x12 x13))(∀ x12 x13 x14 x15 . x11 x12 x13 x14 x15x11 x14 x15 x12 x13)(∀ x12 x13 . x0 x12x0 x13not (x11 x12 x13 x7 x7))(∀ x12 x13 x14 x15 . x0 x12x1 x13x0 x14x1 x15not (x11 x12 x13 x14 x15)not (x11 x12 (x8 x13) x14 (x8 x15)))(∀ x12 x13 x14 x15 . x0 x12x1 x13x0 x14x1 x15not (x11 x12 x13 x14 x15)not (x11 x12 (x9 x13) x14 (x9 x15)))(∀ x12 x13 x14 x15 . x0 x12x1 x13x0 x14x1 x15not (x11 x12 x13 x14 x15)not (x11 x12 (x10 x13) x14 (x10 x15)))(∀ x12 . x0 x12not (x11 x4 x6 x5 x12))(∀ x12 . x0 x12not (x11 x4 x6 x7 x12))(∀ x12 . x0 x12not (x11 x5 x7 x6 x12))(∀ x12 . x0 x12not (x11 x6 x6 x2 x12))(∀ x12 . x0 x12not (x11 x6 x7 x2 x12))(∀ x12 . x0 x12not (x11 x6 x2 x12 x6))(∀ x12 . x0 x12not (x11 x6 x3 x12 x7))not (x11 x2 x2 x2 x3)not (x11 x2 x2 x2 x5)not (x11 x2 x2 x3 x5)not (x11 x2 x2 x4 x2)not (x11 x2 x2 x4 x3)not (x11 x2 x2 x5 x2)not (x11 x2 x2 x5 x5)not (x11 x2 x2 x6 x2)not (x11 x2 x2 x6 x3)not (x11 x2 x2 x7 x3)not (x11 x2 x4 x2 x6)not (x11 x2 x4 x3 x2)not (x11 x2 x4 x3 x7)not (x11 x2 x4 x4 x7)not (x11 x2 x4 x5 x6)not (x11 x2 x4 x7 x6)not (x11 x2 x7 x3 x4)not (x11 x2 x7 x7 x2)not (x11 x2 x7 x7 x3)not (x11 x3 x2 x5 x2)not (x11 x3 x2 x7 x4)not (x11 x3 x2 x7 x5)not (x11 x3 x4 x7 x2)not (x11 x3 x5 x4 x6)not (x11 x3 x5 x6 x2)not (x11 x3 x5 x7 x2)not (x11 x3 x6 x6 x3)not (x11 x4 x2 x6 x2)not (x11 x4 x2 x6 x3)not (x11 x4 x3 x6 x2)not (x11 x5 x2 x6 x2)not (x11 x5 x2 x6 x3)not (x11 x5 x2 x7 x4)not (x11 x5 x4 x7 x2)not (x11 x5 x5 x6 x2)not (x11 x5 x5 x7 x2)not (x11 x6 x2 x6 x3)not (x11 x6 x2 x7 x4)not (x11 x6 x2 x7 x5)not (x11 x7 x2 x7 x3)∀ x12 . x0 x12∀ x13 . x0 x13∀ x14 . x0 x14∀ x15 . x0 x15∀ x16 . x0 x16x11 x2 x4 x6 x12x11 x2 x4 x13 x14x11 x2 x4 x15 x16x11 x6 x12 x13 x14x11 x6 x12 x15 x16x11 x13 x14 x15 x16False
Known 019e5.. : ∀ x0 x1 : ι → ο . ∀ x2 x3 x4 x5 x6 x7 . (∀ x8 : ι → ο . x8 x2x8 x3x8 x4x8 x5x8 x6x8 x7∀ x9 . x0 x9x8 x9)x0 x2x0 x3x0 x4x0 x5x0 x6x0 x7x1 x2x1 x3x1 x4x1 x5∀ x8 x9 x10 : ι → ι . x8 x2 = x3x8 x3 = x2x8 x4 = x5x8 x5 = x4x9 x2 = x4x9 x3 = x5x9 x4 = x2x9 x5 = x3x10 x2 = x5x10 x3 = x4x10 x4 = x3x10 x5 = x2∀ x11 : ι → ι → ι → ι → ο . (∀ x12 x13 . x0 x12x0 x13not (x11 x12 x13 x12 x13))(∀ x12 x13 x14 x15 . x11 x12 x13 x14 x15x11 x14 x15 x12 x13)(∀ x12 x13 . x0 x12x0 x13not (x11 x12 x13 x7 x7))(∀ x12 x13 x14 x15 . x0 x12x1 x13x0 x14x1 x15not (x11 x12 x13 x14 x15)not (x11 x12 (x8 x13) x14 (x8 x15)))(∀ x12 x13 x14 x15 . x0 x12x1 x13x0 x14x1 x15not (x11 x12 x13 x14 x15)not (x11 x12 (x9 x13) x14 (x9 x15)))(∀ x12 x13 x14 x15 . x0 x12x1 x13x0 x14x1 x15not (x11 x12 x13 x14 x15)not (x11 x12 (x10 x13) x14 (x10 x15)))(∀ x12 . x0 x12not (x11 x4 x6 x7 x12))(∀ x12 . x0 x12not (x11 x5 x7 x6 x12))(∀ x12 . x0 x12not (x11 x6 x6 x2 x12))(∀ x12 . x0 x12not (x11 x6 x7 x2 x12))(∀ x12 . x0 x12not (x11 x2 x2 x12 x7))(∀ x12 . x0 x12not (x11 x6 x2 x12 x6))(∀ x12 . x0 x12not (x11 x6 x3 x12 x7))not (x11 x2 x2 x2 x3)not (x11 x2 x2 x2 x5)not (x11 x2 x2 x3 x5)not (x11 x2 x2 x4 x2)not (x11 x2 x2 x4 x3)not (x11 x2 x2 x5 x2)not (x11 x2 x2 x5 x5)not (x11 x2 x2 x6 x2)not (x11 x2 x2 x6 x3)not (x11 x2 x2 x7 x3)not (x11 x2 x4 x2 x6)not (x11 x2 x4 x3 x2)not (x11 x2 x4 x3 x7)not (x11 x2 x4 x4 x7)not (x11 x2 x4 x5 x6)not (x11 x2 x4 x7 x6)not (x11 x2 x7 x7 x2)not (x11 x2 x7 x7 x3)not (x11 x2 x7 x7 x4)not (x11 x3 x2 x5 x2)not (x11 x3 x2 x7 x2)not (x11 x3 x2 x7 x4)not (x11 x3 x4 x7 x2)not (x11 x3 x5 x4 x2)not (x11 x3 x5 x7 x2)not (x11 x3 x6 x5 x2)not (x11 x3 x6 x6 x3)not (x11 x3 x6 x7 x2)not (x11 x3 x6 x7 x4)not (x11 x4 x2 x5 x5)not (x11 x4 x2 x7 x2)not (x11 x4 x2 x7 x3)not (x11 x4 x3 x7 x2)not (x11 x4 x5 x7 x2)not (x11 x5 x2 x5 x7)not (x11 x5 x2 x6 x2)not (x11 x5 x2 x6 x3)not (x11 x5 x2 x7 x4)not (x11 x5 x4 x7 x2)not (x11 x5 x5 x7 x2)not (x11 x5 x7 x7 x3)not (x11 x5 x7 x7 x4)not (x11 x6 x2 x6 x3)not (x11 x6 x2 x7 x4)not (x11 x6 x2 x7 x5)not (x11 x6 x5 x7 x2)not (x11 x7 x2 x7 x3)not (x11 x7 x2 x7 x4)∀ x12 . x0 x12∀ x13 . x0 x13∀ x14 . x0 x14∀ x15 . x0 x15∀ x16 . x0 x16x11 x2 x4 x7 x12x11 x2 x4 x13 x14x11 x2 x4 x15 x16x11 x7 x12 x13 x14x11 x7 x12 x15 x16x11 x13 x14 x15 x16False
Known 60705.. : ∀ x0 x1 : ι → ο . ∀ x2 x3 x4 x5 x6 x7 . (∀ x8 : ι → ο . x8 x2x8 x3x8 x4x8 x5x8 x6x8 x7∀ x9 . x0 x9x8 x9)x0 x2x0 x3x0 x4x0 x5x0 x6x0 x7x1 x2x1 x3x1 x4x1 x5∀ x8 x9 x10 : ι → ι . x8 x2 = x3x8 x3 = x2x8 x4 = x5x8 x5 = x4x9 x2 = x4x9 x3 = x5x9 x4 = x2x9 x5 = x3x10 x2 = x5x10 x3 = x4x10 x4 = x3x10 x5 = x2∀ x11 : ι → ι → ι → ι → ο . (∀ x12 x13 . x0 x12x0 x13not (x11 x12 x13 x12 x13))(∀ x12 x13 x14 x15 . x11 x12 x13 x14 x15x11 x14 x15 x12 x13)(∀ x12 x13 . x0 x12x0 x13not (x11 x12 x13 x7 x7))(∀ x12 x13 x14 x15 . x0 x12x1 x13x0 x14x1 x15not (x11 x12 x13 x14 x15)not (x11 x12 (x8 x13) x14 (x8 x15)))(∀ x12 x13 x14 x15 . x0 x12x1 x13x0 x14x1 x15not (x11 x12 x13 x14 x15)not (x11 x12 (x9 x13) x14 (x9 x15)))(∀ x12 x13 x14 x15 . x0 x12x1 x13x0 x14x1 x15not (x11 x12 x13 x14 x15)not (x11 x12 (x10 x13) x14 (x10 x15)))(∀ x12 . x0 x12not (x11 x4 x7 x5 x12))(∀ x12 . x0 x12not (x11 x4 x7 x7 x12))(∀ x12 . x0 x12not (x11 x5 x6 x6 x12))(∀ x12 . x0 x12not (x11 x6 x6 x2 x12))(∀ x12 . x0 x12not (x11 x6 x7 x2 x12))(∀ x12 . x0 x12not (x11 x2 x3 x12 x6))(∀ x12 . x0 x12not (x11 x6 x2 x12 x6))(∀ x12 . x0 x12not (x11 x6 x3 x12 x7))not (x11 x2 x2 x2 x3)not (x11 x2 x2 x2 x5)not (x11 x2 x2 x3 x4)not (x11 x2 x2 x3 x5)not (x11 x2 x2 x4 x2)not (x11 x2 x2 x4 x3)not (x11 x2 x2 x5 x2)not (x11 x2 x2 x5 x5)not (x11 x2 x2 x6 x2)not (x11 x2 x2 x6 x3)not (x11 x2 x2 x7 x3)not (x11 x2 x3 x4 x2)not (x11 x2 x3 x6 x2)not (x11 x2 x3 x7 x2)not (x11 x2 x5 x2 x7)not (x11 x2 x5 x3 x2)not (x11 x2 x5 x3 x6)not (x11 x2 x5 x4 x6)not (x11 x2 x5 x5 x2)not (x11 x2 x5 x5 x7)not (x11 x2 x5 x7 x6)not (x11 x2 x6 x3 x5)not (x11 x2 x6 x3 x7)not (x11 x2 x6 x4 x3)not (x11 x2 x6 x5 x3)not (x11 x2 x6 x5 x4)not (x11 x2 x6 x7 x2)not (x11 x2 x6 x7 x3)not (x11 x2 x6 x7 x5)not (x11 x3 x2 x6 x5)not (x11 x3 x4 x4 x2)not (x11 x3 x4 x4 x7)not (x11 x3 x4 x5 x6)not (x11 x3 x5 x6 x2)not (x11 x3 x7 x4 x7)not (x11 x3 x7 x7 x3)not (x11 x3 x7 x7 x5)not (x11 x4 x2 x4 x7)not (x11 x4 x2 x5 x6)not (x11 x4 x2 x6 x3)not (x11 x7 x2 x7 x4)∀ x12 . x0 x12∀ x13 . x0 x13∀ x14 . x0 x14∀ x15 . x0 x15∀ x16 . x0 x16x11 x2 x5 x2 x12x11 x2 x5 x13 x14x11 x2 x5 x15 x16x11 x2 x12 x13 x14x11 x2 x12 x15 x16x11 x13 x14 x15 x16False
Known 78d86.. : ∀ x0 x1 : ι → ο . ∀ x2 x3 x4 x5 x6 x7 . (∀ x8 : ι → ο . x8 x2x8 x3x8 x4x8 x5x8 x6x8 x7∀ x9 . x0 x9x8 x9)x0 x2x0 x3x0 x4x0 x5x0 x6x0 x7x1 x2x1 x3x1 x4x1 x5∀ x8 x9 x10 : ι → ι . x8 x2 = x3x8 x3 = x2x8 x4 = x5x8 x5 = x4x9 x2 = x4x9 x3 = x5x9 x4 = x2x9 x5 = x3x10 x2 = x5x10 x3 = x4x10 x4 = x3x10 x5 = x2∀ x11 : ι → ι → ι → ι → ο . (∀ x12 x13 . x0 x12x0 x13not (x11 x12 x13 x12 x13))(∀ x12 x13 x14 x15 . x11 x12 x13 x14 x15x11 x14 x15 x12 x13)(∀ x12 x13 . x0 x12x0 x13not (x11 x12 x13 x7 x7))(∀ x12 x13 x14 x15 . x0 x12x1 x13x0 x14x1 x15not (x11 x12 x13 x14 x15)not (x11 x12 (x8 x13) x14 (x8 x15)))(∀ x12 x13 x14 x15 . x0 x12x1 x13x0 x14x1 x15not (x11 x12 x13 x14 x15)not (x11 x12 (x9 x13) x14 (x9 x15)))(∀ x12 x13 x14 x15 . x0 x12x1 x13x0 x14x1 x15not (x11 x12 x13 x14 x15)not (x11 x12 (x10 x13) x14 (x10 x15)))(∀ x12 . x0 x12not (x11 x4 x7 x5 x12))(∀ x12 . x0 x12not (x11 x5 x6 x6 x12))(∀ x12 . x0 x12not (x11 x6 x6 x2 x12))(∀ x12 . x0 x12not (x11 x6 x7 x2 x12))(∀ x12 . x0 x12not (x11 x2 x3 x12 x6))(∀ x12 . x0 x12not (x11 x6 x2 x12 x6))(∀ x12 . x0 x12not (x11 x6 x3 x12 x7))not (x11 x2 x2 x2 x3)not (x11 x2 x2 x2 x5)not (x11 x2 x2 x3 x4)not (x11 x2 x2 x3 x5)not (x11 x2 x2 x4 x2)not (x11 x2 x2 x4 x3)not (x11 x2 x2 x5 x2)not (x11 x2 x2 x6 x2)not (x11 x2 x2 x6 x3)not (x11 x2 x2 x7 x3)not (x11 x2 x3 x4 x2)not (x11 x2 x3 x7 x2)not (x11 x2 x4 x3 x2)not (x11 x2 x5 x2 x7)not (x11 x2 x5 x3 x2)not (x11 x2 x5 x3 x6)not (x11 x2 x5 x4 x6)not (x11 x2 x5 x5 x2)not (x11 x2 x5 x5 x7)not (x11 x2 x5 x7 x6)not (x11 x2 x6 x3 x5)not (x11 x2 x6 x3 x7)not (x11 x2 x6 x5 x3)not (x11 x2 x6 x7 x5)not (x11 x3 x2 x3 x3)not (x11 x3 x2 x4 x4)not (x11 x3 x2 x4 x5)not (x11 x3 x2 x5 x2)not (x11 x3 x2 x6 x5)not (x11 x3 x2 x7 x2)not (x11 x3 x2 x7 x4)not (x11 x3 x2 x7 x5)not (x11 x3 x4 x4 x2)not (x11 x3 x4 x4 x7)not (x11 x3 x4 x5 x6)not (x11 x3 x4 x7 x2)not (x11 x3 x5 x3 x7)not (x11 x3 x5 x4 x2)not (x11 x3 x5 x6 x2)not (x11 x3 x5 x7 x2)not (x11 x3 x7 x4 x3)not (x11 x3 x7 x4 x7)not (x11 x3 x7 x5 x3)not (x11 x3 x7 x5 x4)not (x11 x3 x7 x6 x2)not (x11 x3 x7 x7 x3)not (x11 x3 x7 x7 x5)not (x11 x4 x2 x5 x6)not (x11 x4 x2 x7 x2)not (x11 x5 x2 x5 x5)not (x11 x5 x2 x6 x2)not (x11 x5 x2 x6 x5)not (x11 x5 x2 x7 x4)not (x11 x5 x3 x5 x6)not (x11 x5 x3 x6 x2)not (x11 x5 x4 x5 x6)not (x11 x5 x4 x7 x2)not (x11 x5 x5 x6 x2)not (x11 x5 x6 x7 x2)not (x11 x6 x2 x7 x5)∀ x12 . x0 x12∀ x13 . x0 x13∀ x14 . x0 x14∀ x15 . x0 x15∀ x16 . x0 x16x11 x2 x5 x3 x12x11 x2 x5 x13 x14x11 x2 x5 x15 x16x11 x3 x12 x13 x14x11 x3 x12 x15 x16x11 x13 x14 x15 x16False
Known 33ee8.. : ∀ x0 x1 : ι → ο . ∀ x2 x3 x4 x5 x6 x7 . (∀ x8 : ι → ο . x8 x2x8 x3x8 x4x8 x5x8 x6x8 x7∀ x9 . x0 x9x8 x9)x0 x2x0 x3x0 x4x0 x5x0 x6x0 x7x1 x2x1 x3x1 x4x1 x5∀ x8 x9 x10 : ι → ι . x8 x2 = x3x8 x3 = x2x8 x4 = x5x8 x5 = x4x9 x2 = x4x9 x3 = x5x9 x4 = x2x9 x5 = x3x10 x2 = x5x10 x3 = x4x10 x4 = x3x10 x5 = x2∀ x11 : ι → ι → ι → ι → ο . (∀ x12 x13 . x0 x12x0 x13not (x11 x12 x13 x12 x13))(∀ x12 x13 x14 x15 . x11 x12 x13 x14 x15x11 x14 x15 x12 x13)(∀ x12 x13 . x0 x12x0 x13not (x11 x12 x13 x7 x7))(∀ x12 x13 x14 x15 . x0 x12x1 x13x0 x14x1 x15not (x11 x12 x13 x14 x15)not (x11 x12 (x8 x13) x14 (x8 x15)))(∀ x12 x13 x14 x15 . x0 x12x1 x13x0 x14x1 x15not (x11 x12 x13 x14 x15)not (x11 x12 (x9 x13) x14 (x9 x15)))(∀ x12 x13 x14 x15 . x0 x12x1 x13x0 x14x1 x15not (x11 x12 x13 x14 x15)not (x11 x12 (x10 x13) x14 (x10 x15)))(∀ x12 . x0 x12not (x11 x4 x7 x5 x12))(∀ x12 . x0 x12not (x11 x4 x7 x7 x12))(∀ x12 . x0 x12not (x11 x6 x6 x2 x12))(∀ x12 . x0 x12not (x11 x6 x7 x2 x12))(∀ x12 . x0 x12not (x11 x2 x3 x12 x6))(∀ x12 . x0 x12not (x11 x6 x2 x12 x6))(∀ x12 . x0 x12not (x11 x6 x3 x12 x7))not (x11 x2 x2 x2 x3)not (x11 x2 x2 x2 x5)not (x11 x2 x2 x3 x4)not (x11 x2 x2 x4 x2)not (x11 x2 x2 x4 x3)not (x11 x2 x2 x5 x2)not (x11 x2 x2 x6 x2)not (x11 x2 x2 x6 x3)not (x11 x2 x2 x7 x3)not (x11 x2 x3 x4 x2)not (x11 x2 x3 x6 x2)not (x11 x2 x4 x3 x2)not (x11 x2 x5 x2 x7)not (x11 x2 x5 x3 x2)not (x11 x2 x5 x3 x6)not (x11 x2 x5 x4 x6)not (x11 x2 x5 x5 x2)not (x11 x2 x5 x5 x7)not (x11 x2 x5 x7 x6)not (x11 x2 x6 x3 x5)not (x11 x2 x6 x3 x7)not (x11 x2 x6 x4 x3)not (x11 x2 x6 x5 x3)not (x11 x2 x6 x5 x4)not (x11 x3 x2 x4 x4)not (x11 x3 x4 x4 x2)not (x11 x3 x4 x4 x7)not (x11 x3 x5 x4 x2)not (x11 x3 x5 x6 x2)not (x11 x3 x7 x4 x3)not (x11 x3 x7 x4 x7)not (x11 x3 x7 x5 x3)not (x11 x3 x7 x5 x4)not (x11 x4 x2 x4 x7)not (x11 x4 x2 x5 x2)not (x11 x4 x2 x5 x5)not (x11 x4 x2 x5 x6)not (x11 x4 x2 x6 x2)not (x11 x4 x2 x6 x3)not (x11 x4 x2 x7 x2)not (x11 x4 x2 x7 x3)not (x11 x4 x2 x7 x5)not (x11 x4 x3 x6 x2)not (x11 x4 x3 x7 x2)not (x11 x4 x5 x5 x2)not (x11 x5 x2 x5 x5)not (x11 x5 x6 x7 x5)∀ x12 . x0 x12∀ x13 . x0 x13∀ x14 . x0 x14∀ x15 . x0 x15∀ x16 . x0 x16x11 x2 x5 x4 x12x11 x2 x5 x13 x14x11 x2 x5 x15 x16x11 x4 x12 x13 x14x11 x4 x12 x15 x16x11 x13 x14 x15 x16False
Known 1b6ee.. : ∀ x0 x1 : ι → ο . ∀ x2 x3 x4 x5 x6 x7 . (∀ x8 : ι → ο . x8 x2x8 x3x8 x4x8 x5x8 x6x8 x7∀ x9 . x0 x9x8 x9)x0 x2x0 x3x0 x4x0 x5x0 x6x0 x7x1 x2x1 x3x1 x4x1 x5∀ x8 x9 x10 : ι → ι . x8 x2 = x3x8 x3 = x2x8 x4 = x5x8 x5 = x4x9 x2 = x4x9 x3 = x5x9 x4 = x2x9 x5 = x3x10 x2 = x5x10 x3 = x4x10 x4 = x3x10 x5 = x2∀ x11 : ι → ι → ι → ι → ο . (∀ x12 x13 . x0 x12x0 x13not (x11 x12 x13 x12 x13))(∀ x12 x13 x14 x15 . x11 x12 x13 x14 x15x11 x14 x15 x12 x13)(∀ x12 x13 . x0 x12x0 x13not (x11 x12 x13 x7 x7))(∀ x12 x13 x14 x15 . x0 x12x1 x13x0 x14x1 x15not (x11 x12 x13 x14 x15)not (x11 x12 (x8 x13) x14 (x8 x15)))(∀ x12 x13 x14 x15 . x0 x12x1 x13x0 x14x1 x15not (x11 x12 x13 x14 x15)not (x11 x12 (x9 x13) x14 (x9 x15)))(∀ x12 x13 x14 x15 . x0 x12x1 x13x0 x14x1 x15not (x11 x12 x13 x14 x15)not (x11 x12 (x10 x13) x14 (x10 x15)))(∀ x12 . x0 x12not (x11 x4 x7 x5 x12))(∀ x12 . x0 x12not (x11 x5 x6 x6 x12))(∀ x12 . x0 x12not (x11 x6 x6 x2 x12))(∀ x12 . x0 x12not (x11 x6 x7 x2 x12))(∀ x12 . x0 x12not (x11 x2 x3 x12 x6))not (x11 x2 x2 x2 x3)not (x11 x2 x2 x2 x5)not (x11 x2 x2 x3 x4)not (x11 x2 x2 x4 x2)not (x11 x2 x2 x4 x3)not (x11 x2 x2 x5 x2)not (x11 x2 x2 x6 x2)not (x11 x2 x2 x6 x3)not (x11 x2 x2 x7 x3)not (x11 x2 x5 x2 x7)not (x11 x2 x5 x3 x2)not (x11 x2 x5 x3 x6)not (x11 x2 x5 x4 x6)not (x11 x2 x5 x5 x2)not (x11 x2 x5 x5 x7)not (x11 x2 x5 x7 x6)not (x11 x2 x6 x3 x5)not (x11 x2 x6 x3 x7)not (x11 x2 x6 x4 x3)not (x11 x2 x6 x5 x3)not (x11 x2 x6 x5 x4)not (x11 x2 x6 x7 x3)not (x11 x3 x2 x3 x3)not (x11 x3 x2 x4 x4)not (x11 x3 x2 x5 x2)not (x11 x3 x2 x7 x2)not (x11 x3 x2 x7 x4)not (x11 x3 x2 x7 x5)not (x11 x3 x4 x4 x2)not (x11 x3 x4 x5 x6)not (x11 x3 x4 x7 x2)not (x11 x3 x5 x3 x7)not (x11 x3 x5 x4 x2)not (x11 x3 x5 x6 x2)not (x11 x3 x5 x7 x2)not (x11 x3 x7 x4 x3)not (x11 x3 x7 x5 x3)not (x11 x3 x7 x5 x4)not (x11 x3 x7 x7 x3)not (x11 x4 x2 x5 x2)not (x11 x4 x2 x5 x6)not (x11 x4 x2 x6 x2)not (x11 x4 x2 x7 x2)not (x11 x4 x2 x7 x3)not (x11 x4 x2 x7 x5)not (x11 x4 x5 x5 x2)not (x11 x5 x2 x5 x5)not (x11 x5 x2 x6 x2)not (x11 x5 x2 x6 x5)not (x11 x5 x2 x7 x4)not (x11 x5 x2 x7 x5)not (x11 x5 x3 x5 x6)not (x11 x5 x3 x6 x2)not (x11 x5 x4 x5 x6)not (x11 x5 x4 x7 x2)not (x11 x5 x6 x7 x2)not (x11 x5 x6 x7 x5)not (x11 x6 x2 x7 x5)not (x11 x7 x2 x7 x3)∀ x12 . x0 x12∀ x13 . x0 x13∀ x14 . x0 x14∀ x15 . x0 x15∀ x16 . x0 x16x11 x2 x5 x5 x12x11 x2 x5 x13 x14x11 x2 x5 x15 x16x11 x5 x12 x13 x14x11 x5 x12 x15 x16x11 x13 x14 x15 x16False
Known 7d91b.. : ∀ x0 x1 : ι → ο . ∀ x2 x3 x4 x5 x6 x7 . (∀ x8 : ι → ο . x8 x2x8 x3x8 x4x8 x5x8 x6x8 x7∀ x9 . x0 x9x8 x9)x0 x2x0 x3x0 x4x0 x5x0 x6x0 x7x1 x2x1 x3x1 x4x1 x5∀ x8 x9 x10 : ι → ι . x8 x2 = x3x8 x3 = x2x8 x4 = x5x8 x5 = x4x9 x2 = x4x9 x3 = x5x9 x4 = x2x9 x5 = x3x10 x2 = x5x10 x3 = x4x10 x4 = x3x10 x5 = x2∀ x11 : ι → ι → ι → ι → ο . (∀ x12 x13 . x0 x12x0 x13not (x11 x12 x13 x12 x13))(∀ x12 x13 x14 x15 . x11 x12 x13 x14 x15x11 x14 x15 x12 x13)(∀ x12 x13 . x0 x12x0 x13not (x11 x12 x13 x7 x7))(∀ x12 x13 x14 x15 . x0 x12x1 x13x0 x14x1 x15not (x11 x12 x13 x14 x15)not (x11 x12 (x8 x13) x14 (x8 x15)))(∀ x12 x13 x14 x15 . x0 x12x1 x13x0 x14x1 x15not (x11 x12 x13 x14 x15)not (x11 x12 (x9 x13) x14 (x9 x15)))(∀ x12 x13 x14 x15 . x0 x12x1 x13x0 x14x1 x15not (x11 x12 x13 x14 x15)not (x11 x12 (x10 x13) x14 (x10 x15)))(∀ x12 . x0 x12not (x11 x4 x7 x5 x12))(∀ x12 . x0 x12not (x11 x4 x7 x7 x12))(∀ x12 . x0 x12not (x11 x5 x6 x6 x12))(∀ x12 . x0 x12not (x11 x6 x6 x2 x12))(∀ x12 . x0 x12not (x11 x6 x7 x2 x12))(∀ x12 . x0 x12not (x11 x6 x2 x12 x6))(∀ x12 . x0 x12not (x11 x6 x3 x12 x7))not (x11 x2 x2 x2 x3)not (x11 x2 x2 x2 x5)not (x11 x2 x2 x3 x4)not (x11 x2 x2 x4 x2)not (x11 x2 x2 x4 x3)not (x11 x2 x2 x5 x2)not (x11 x2 x2 x6 x2)not (x11 x2 x2 x6 x3)not (x11 x2 x2 x7 x3)not (x11 x2 x3 x6 x2)not (x11 x2 x5 x2 x7)not (x11 x2 x5 x3 x2)not (x11 x2 x5 x3 x6)not (x11 x2 x5 x4 x6)not (x11 x2 x5 x5 x2)not (x11 x2 x5 x5 x7)not (x11 x2 x5 x7 x6)not (x11 x2 x6 x3 x5)not (x11 x2 x6 x7 x2)not (x11 x2 x6 x7 x3)not (x11 x3 x2 x5 x2)not (x11 x3 x2 x7 x4)not (x11 x3 x2 x7 x5)not (x11 x3 x4 x4 x7)not (x11 x3 x4 x7 x2)not (x11 x3 x5 x6 x2)not (x11 x3 x5 x7 x2)not (x11 x3 x7 x6 x2)not (x11 x4 x2 x6 x2)not (x11 x4 x2 x6 x3)not (x11 x4 x3 x6 x2)not (x11 x5 x2 x6 x2)not (x11 x5 x2 x7 x5)not (x11 x5 x3 x6 x2)not (x11 x5 x4 x7 x2)not (x11 x5 x5 x6 x2)not (x11 x5 x5 x7 x2)not (x11 x6 x2 x6 x3)not (x11 x6 x2 x7 x4)not (x11 x6 x2 x7 x5)not (x11 x7 x2 x7 x3)∀ x12 . x0 x12∀ x13 . x0 x13∀ x14 . x0 x14∀ x15 . x0 x15∀ x16 . x0 x16x11 x2 x5 x6 x12x11 x2 x5 x13 x14x11 x2 x5 x15 x16x11 x6 x12 x13 x14x11 x6 x12 x15 x16x11 x13 x14 x15 x16False
Known 6381b.. : ∀ x0 x1 : ι → ο . ∀ x2 x3 x4 x5 x6 x7 . (∀ x8 : ι → ο . x8 x2x8 x3x8 x4x8 x5x8 x6x8 x7∀ x9 . x0 x9x8 x9)x0 x2x0 x3x0 x4x0 x5x0 x6x0 x7x1 x2x1 x3x1 x4x1 x5∀ x8 x9 x10 : ι → ι . x8 x2 = x3x8 x3 = x2x8 x4 = x5x8 x5 = x4x9 x2 = x4x9 x3 = x5x9 x4 = x2x9 x5 = x3x10 x2 = x5x10 x3 = x4x10 x4 = x3x10 x5 = x2∀ x11 : ι → ι → ι → ι → ο . (∀ x12 x13 . x0 x12x0 x13not (x11 x12 x13 x12 x13))(∀ x12 x13 x14 x15 . x11 x12 x13 x14 x15x11 x14 x15 x12 x13)(∀ x12 x13 . x0 x12x0 x13not (x11 x12 x13 x7 x7))(∀ x12 x13 x14 x15 . x0 x12x1 x13x0 x14x1 x15not (x11 x12 x13 x14 x15)not (x11 x12 (x8 x13) x14 (x8 x15)))(∀ x12 x13 x14 x15 . x0 x12x1 x13x0 x14x1 x15not (x11 x12 x13 x14 x15)not (x11 x12 (x9 x13) x14 (x9 x15)))(∀ x12 x13 x14 x15 . x0 x12x1 x13x0 x14x1 x15not (x11 x12 x13 x14 x15)not (x11 x12 (x10 x13) x14 (x10 x15)))(∀ x12 . x0 x12not (x11 x4 x7 x7 x12))(∀ x12 . x0 x12not (x11 x5 x6 x6 x12))(∀ x12 . x0 x12not (x11 x6 x6 x2 x12))(∀ x12 . x0 x12not (x11 x6 x7 x2 x12))(∀ x12 . x0 x12not (x11 x2 x3 x12 x6))(∀ x12 . x0 x12not (x11 x6 x2 x12 x6))(∀ x12 . x0 x12not (x11 x6 x3 x12 x7))not (x11 x2 x2 x2 x3)not (x11 x2 x2 x2 x5)not (x11 x2 x2 x3 x4)not (x11 x2 x2 x3 x5)not (x11 x2 x2 x4 x2)not (x11 x2 x2 x4 x3)not (x11 x2 x2 x5 x2)not (x11 x2 x2 x5 x5)not (x11 x2 x2 x6 x2)not (x11 x2 x2 x6 x3)not (x11 x2 x2 x7 x3)not (x11 x2 x3 x6 x2)not (x11 x2 x3 x7 x2)not (x11 x2 x5 x2 x7)not (x11 x2 x5 x3 x2)not (x11 x2 x5 x3 x6)not (x11 x2 x5 x4 x6)not (x11 x2 x5 x5 x2)not (x11 x2 x5 x5 x7)not (x11 x2 x5 x7 x6)not (x11 x2 x6 x7 x2)not (x11 x2 x6 x7 x3)not (x11 x2 x6 x7 x5)not (x11 x3 x2 x4 x5)not (x11 x3 x2 x5 x2)not (x11 x3 x2 x7 x2)not (x11 x3 x4 x7 x2)not (x11 x3 x5 x4 x2)not (x11 x3 x5 x7 x2)not (x11 x3 x7 x5 x3)not (x11 x3 x7 x6 x2)not (x11 x3 x7 x7 x3)not (x11 x3 x7 x7 x5)not (x11 x4 x2 x5 x5)not (x11 x4 x2 x7 x2)not (x11 x4 x2 x7 x3)not (x11 x4 x2 x7 x5)not (x11 x4 x3 x7 x2)not (x11 x4 x5 x5 x2)not (x11 x5 x2 x6 x2)not (x11 x5 x2 x7 x4)not (x11 x5 x3 x5 x6)not (x11 x5 x3 x6 x2)not (x11 x5 x4 x7 x2)not (x11 x5 x5 x7 x2)not (x11 x5 x6 x7 x2)not (x11 x5 x6 x7 x5)not (x11 x6 x2 x6 x3)not (x11 x6 x2 x7 x4)not (x11 x6 x2 x7 x5)not (x11 x6 x4 x7 x2)not (x11 x7 x2 x7 x3)not (x11 x7 x2 x7 x4)∀ x12 . x0 x12∀ x13 . x0 x13∀ x14 . x0 x14∀ x15 . x0 x15∀ x16 . x0 x16x11 x2 x5 x7 x12x11 x2 x5 x13 x14x11 x2 x5 x15 x16x11 x7 x12 x13 x14x11 x7 x12 x15 x16x11 x13 x14 x15 x16False
Known 8a53b.. : ∀ x0 x1 : ι → ο . ∀ x2 x3 x4 x5 x6 x7 . (∀ x8 : ι → ο . x8 x2x8 x3x8 x4x8 x5x8 x6x8 x7∀ x9 . x0 x9x8 x9)x0 x2x0 x3x0 x4x0 x5x0 x6x0 x7x1 x2x1 x3x1 x4x1 x5∀ x8 x9 x10 : ι → ι . x8 x2 = x3x8 x3 = x2x8 x4 = x5x8 x5 = x4x9 x2 = x4x9 x3 = x5x9 x4 = x2x9 x5 = x3x10 x2 = x5x10 x3 = x4x10 x4 = x3x10 x5 = x2∀ x11 : ι → ι → ι → ι → ο . (∀ x12 x13 . x0 x12x0 x13not (x11 x12 x13 x12 x13))(∀ x12 x13 x14 x15 . x11 x12 x13 x14 x15x11 x14 x15 x12 x13)(∀ x12 x13 . x0 x12x0 x13not (x11 x12 x13 x7 x7))(∀ x12 x13 x14 x15 . x0 x12x1 x13x0 x14x1 x15not (x11 x12 x13 x14 x15)not (x11 x12 (x8 x13) x14 (x8 x15)))(∀ x12 x13 x14 x15 . x0 x12x1 x13x0 x14x1 x15not (x11 x12 x13 x14 x15)not (x11 x12 (x9 x13) x14 (x9 x15)))(∀ x12 x13 x14 x15 . x0 x12x1 x13x0 x14x1 x15not (x11 x12 x13 x14 x15)not (x11 x12 (x10 x13) x14 (x10 x15)))(∀ x12 . x0 x12not (x11 x4 x6 x5 x12))(∀ x12 . x0 x12not (x11 x4 x7 x5 x12))(∀ x12 . x0 x12not (x11 x5 x6 x6 x12))(∀ x12 . x0 x12not (x11 x6 x6 x2 x12))(∀ x12 . x0 x12not (x11 x6 x7 x2 x12))(∀ x12 . x0 x12not (x11 x2 x2 x12 x7))(∀ x12 . x0 x12not (x11 x2 x3 x12 x6))(∀ x12 . x0 x12not (x11 x6 x2 x12 x6))(∀ x12 . x0 x12not (x11 x6 x3 x12 x7))not (x11 x2 x2 x2 x5)not (x11 x2 x2 x3 x4)not (x11 x2 x2 x4 x2)not (x11 x2 x2 x5 x2)not (x11 x2 x2 x5 x5)not (x11 x2 x2 x6 x3)not (x11 x2 x2 x7 x6)not (x11 x2 x4 x2 x6)not (x11 x2 x5 x4 x6)not (x11 x2 x5 x5 x2)not (x11 x2 x5 x5 x7)not (x11 x2 x5 x7 x6)not (x11 x2 x6 x2 x7)not (x11 x2 x6 x3 x2)not (x11 x2 x6 x3 x5)not (x11 x2 x6 x3 x6)not (x11 x2 x6 x3 x7)not (x11 x2 x6 x4 x3)not (x11 x2 x6 x4 x4)not (x11 x2 x6 x5 x3)not (x11 x2 x6 x5 x4)not (x11 x2 x6 x6 x5)not (x11 x2 x6 x7 x2)not (x11 x2 x6 x7 x3)not (x11 x2 x6 x7 x4)not (x11 x2 x6 x7 x5)not (x11 x3 x2 x4 x4)not (x11 x3 x2 x6 x5)not (x11 x3 x3 x4 x6)not (x11 x3 x3 x5 x6)not (x11 x3 x4 x4 x2)not (x11 x3 x4 x4 x7)not (x11 x3 x4 x5 x6)not (x11 x3 x5 x6 x2)not (x11 x4 x2 x4 x7)not (x11 x4 x2 x5 x6)not (x11 x4 x2 x6 x3)not (x11 x4 x3 x6 x2)not (x11 x4 x5 x4 x6)not (x11 x4 x5 x5 x6)not (x11 x4 x6 x6 x4)∀ x12 . x0 x12∀ x13 . x0 x13∀ x14 . x0 x14∀ x15 . x0 x15∀ x16 . x0 x16x11 x2 x6 x2 x12x11 x2 x6 x13 x14x11 x2 x6 x15 x16x11 x2 x12 x13 x14x11 x2 x12 x15 x16x11 x13 x14 x15 x16False
Known 15348.. : ∀ x0 x1 : ι → ο . ∀ x2 x3 x4 x5 x6 x7 . (∀ x8 : ι → ο . x8 x2x8 x3x8 x4x8 x5x8 x6x8 x7∀ x9 . x0 x9x8 x9)x0 x2x0 x3x0 x4x0 x5x0 x6x0 x7x1 x2x1 x3x1 x4x1 x5∀ x8 x9 x10 : ι → ι . x8 x2 = x3x8 x3 = x2x8 x4 = x5x8 x5 = x4x9 x2 = x4x9 x3 = x5x9 x4 = x2x9 x5 = x3x10 x2 = x5x10 x3 = x4x10 x4 = x3x10 x5 = x2∀ x11 : ι → ι → ι → ι → ο . (∀ x12 x13 . x0 x12x0 x13not (x11 x12 x13 x12 x13))(∀ x12 x13 x14 x15 . x11 x12 x13 x14 x15x11 x14 x15 x12 x13)(∀ x12 x13 . x0 x12x0 x13not (x11 x12 x13 x7 x7))(∀ x12 x13 x14 x15 . x0 x12x1 x13x0 x14x1 x15not (x11 x12 x13 x14 x15)not (x11 x12 (x8 x13) x14 (x8 x15)))(∀ x12 x13 x14 x15 . x0 x12x1 x13x0 x14x1 x15not (x11 x12 x13 x14 x15)not (x11 x12 (x9 x13) x14 (x9 x15)))(∀ x12 x13 x14 x15 . x0 x12x1 x13x0 x14x1 x15not (x11 x12 x13 x14 x15)not (x11 x12 (x10 x13) x14 (x10 x15)))(∀ x12 . x0 x12not (x11 x4 x6 x5 x12))(∀ x12 . x0 x12not (x11 x4 x7 x5 x12))(∀ x12 . x0 x12not (x11 x6 x6 x2 x12))(∀ x12 . x0 x12not (x11 x6 x7 x2 x12))(∀ x12 . x0 x12not (x11 x2 x2 x12 x7))(∀ x12 . x0 x12not (x11 x2 x3 x12 x6))(∀ x12 . x0 x12not (x11 x5 x5 x12 x7))(∀ x12 . x0 x12not (x11 x6 x2 x12 x6))not (x11 x2 x2 x3 x4)not (x11 x2 x2 x5 x2)not (x11 x2 x2 x5 x5)not (x11 x2 x4 x2 x6)not (x11 x2 x4 x3 x2)not (x11 x2 x5 x4 x6)not (x11 x2 x5 x5 x2)not (x11 x2 x5 x5 x7)not (x11 x2 x6 x2 x7)not (x11 x2 x6 x3 x2)not (x11 x2 x6 x3 x5)not (x11 x2 x6 x3 x6)not (x11 x2 x6 x3 x7)not (x11 x2 x6 x4 x3)not (x11 x2 x6 x4 x4)not (x11 x2 x6 x5 x3)not (x11 x2 x6 x5 x4)not (x11 x2 x6 x6 x5)not (x11 x2 x6 x7 x2)not (x11 x2 x6 x7 x3)not (x11 x2 x6 x7 x4)not (x11 x2 x6 x7 x5)not (x11 x3 x2 x3 x5)not (x11 x3 x2 x4 x3)not (x11 x3 x2 x4 x4)not (x11 x3 x2 x6 x2)not (x11 x3 x2 x6 x5)not (x11 x3 x3 x4 x2)not (x11 x3 x3 x4 x6)not (x11 x3 x3 x5 x6)not (x11 x3 x3 x7 x6)not (x11 x3 x4 x4 x2)not (x11 x3 x4 x4 x7)not (x11 x3 x4 x5 x6)not (x11 x3 x4 x7 x6)not (x11 x5 x2 x5 x5)not (x11 x5 x2 x5 x7)∀ x12 . x0 x12∀ x13 . x0 x13∀ x14 . x0 x14∀ x15 . x0 x15∀ x16 . x0 x16x11 x2 x6 x3 x12x11 x2 x6 x13 x14x11 x2 x6 x15 x16x11 x3 x12 x13 x14x11 x3 x12 x15 x16x11 x13 x14 x15 x16False
Known c700f.. : ∀ x0 x1 : ι → ο . ∀ x2 x3 x4 x5 x6 x7 . (∀ x8 : ι → ο . x8 x2x8 x3x8 x4x8 x5x8 x6x8 x7∀ x9 . x0 x9x8 x9)x0 x2x0 x3x0 x4x0 x5x0 x6x0 x7x1 x2x1 x3x1 x4x1 x5∀ x8 x9 x10 : ι → ι . x8 x2 = x3x8 x3 = x2x8 x4 = x5x8 x5 = x4x9 x2 = x4x9 x3 = x5x9 x4 = x2x9 x5 = x3x10 x2 = x5x10 x3 = x4x10 x4 = x3x10 x5 = x2∀ x11 : ι → ι → ι → ι → ο . (∀ x12 x13 . x0 x12x0 x13not (x11 x12 x13 x12 x13))(∀ x12 x13 x14 x15 . x11 x12 x13 x14 x15x11 x14 x15 x12 x13)(∀ x12 x13 . x0 x12x0 x13not (x11 x12 x13 x7 x7))(∀ x12 x13 x14 x15 . x0 x12x1 x13x0 x14x1 x15not (x11 x12 x13 x14 x15)not (x11 x12 (x8 x13) x14 (x8 x15)))(∀ x12 x13 x14 x15 . x0 x12x1 x13x0 x14x1 x15not (x11 x12 x13 x14 x15)not (x11 x12 (x9 x13) x14 (x9 x15)))(∀ x12 x13 x14 x15 . x0 x12x1 x13x0 x14x1 x15not (x11 x12 x13 x14 x15)not (x11 x12 (x10 x13) x14 (x10 x15)))(∀ x12 . x0 x12not (x11 x4 x6 x5 x12))(∀ x12 . x0 x12not (x11 x4 x6 x7 x12))(∀ x12 . x0 x12not (x11 x4 x7 x5 x12))(∀ x12 . x0 x12not (x11 x4 x7 x7 x12))(∀ x12 . x0 x12not (x11 x5 x7 x6 x12))(∀ x12 . x0 x12not (x11 x6 x6 x2 x12))(∀ x12 . x0 x12not (x11 x6 x7 x2 x12))(∀ x12 . x0 x12not (x11 x2 x2 x12 x7))(∀ x12 . x0 x12not (x11 x2 x3 x12 x6))(∀ x12 . x0 x12not (x11 x6 x2 x12 x6))(∀ x12 . x0 x12not (x11 x6 x3 x12 x7))not (x11 x2 x2 x3 x4)not (x11 x2 x2 x4 x2)not (x11 x2 x2 x6 x3)not (x11 x2 x2 x7 x6)not (x11 x2 x3 x6 x2)not (x11 x2 x4 x2 x6)not (x11 x2 x4 x3 x2)not (x11 x2 x5 x4 x6)not (x11 x2 x5 x5 x7)not (x11 x2 x5 x7 x6)not (x11 x2 x6 x2 x7)not (x11 x2 x6 x3 x2)not (x11 x2 x6 x3 x5)not (x11 x2 x6 x3 x6)not (x11 x2 x6 x3 x7)not (x11 x2 x6 x4 x3)not (x11 x2 x6 x4 x4)not (x11 x2 x6 x5 x3)not (x11 x2 x6 x5 x4)not (x11 x2 x6 x6 x5)not (x11 x2 x6 x7 x2)not (x11 x2 x6 x7 x3)not (x11 x2 x6 x7 x4)not (x11 x2 x6 x7 x5)not (x11 x3 x2 x4 x4)not (x11 x3 x2 x6 x5)not (x11 x3 x3 x4 x2)not (x11 x3 x3 x4 x6)not (x11 x3 x4 x4 x2)not (x11 x3 x4 x4 x7)not (x11 x3 x5 x6 x2)not (x11 x4 x2 x4 x5)not (x11 x4 x2 x4 x7)not (x11 x4 x2 x5 x2)not (x11 x4 x2 x5 x5)not (x11 x4 x2 x5 x6)not (x11 x4 x2 x6 x3)not (x11 x4 x3 x6 x2)not (x11 x4 x5 x4 x6)not (x11 x4 x5 x5 x2)not (x11 x4 x5 x5 x6)not (x11 x4 x6 x6 x4)not (x11 x5 x7 x7 x6)not (x11 x6 x3 x7 x6)not (x11 x6 x4 x7 x6)∀ x12 . x0 x12∀ x13 . x0 x13∀ x14 . x0 x14∀ x15 . x0 x15∀ x16 . x0 x16x11 x2 x6 x4 x12x11 x2 x6 x13 x14x11 x2 x6 x15 x16x11 x4 x12 x13 x14x11 x4 x12 x15 x16x11 x13 x14 x15 x16False
Known c7e2f.. : ∀ x0 x1 : ι → ο . ∀ x2 x3 x4 x5 x6 x7 . (∀ x8 : ι → ο . x8 x2x8 x3x8 x4x8 x5x8 x6x8 x7∀ x9 . x0 x9x8 x9)x0 x2x0 x3x0 x4x0 x5x0 x6x0 x7x1 x2x1 x3x1 x4x1 x5∀ x8 x9 x10 : ι → ι . x8 x2 = x3x8 x3 = x2x8 x4 = x5x8 x5 = x4x9 x2 = x4x9 x3 = x5x9 x4 = x2x9 x5 = x3x10 x2 = x5x10 x3 = x4x10 x4 = x3x10 x5 = x2∀ x11 : ι → ι → ι → ι → ο . (∀ x12 x13 . x0 x12x0 x13not (x11 x12 x13 x12 x13))(∀ x12 x13 x14 x15 . x11 x12 x13 x14 x15x11 x14 x15 x12 x13)(∀ x12 x13 . x0 x12x0 x13not (x11 x12 x13 x7 x7))(∀ x12 x13 x14 x15 . x0 x12x1 x13x0 x14x1 x15not (x11 x12 x13 x14 x15)not (x11 x12 (x8 x13) x14 (x8 x15)))(∀ x12 x13 x14 x15 . x0 x12x1 x13x0 x14x1 x15not (x11 x12 x13 x14 x15)not (x11 x12 (x9 x13) x14 (x9 x15)))(∀ x12 x13 x14 x15 . x0 x12x1 x13x0 x14x1 x15not (x11 x12 x13 x14 x15)not (x11 x12 (x10 x13) x14 (x10 x15)))(∀ x12 . x0 x12not (x11 x4 x6 x5 x12))(∀ x12 . x0 x12not (x11 x4 x7 x5 x12))(∀ x12 . x0 x12not (x11 x5 x6 x6 x12))(∀ x12 . x0 x12not (x11 x5 x7 x6 x12))(∀ x12 . x0 x12not (x11 x6 x6 x2 x12))(∀ x12 . x0 x12not (x11 x6 x7 x2 x12))(∀ x12 . x0 x12not (x11 x2 x2 x12 x7))(∀ x12 . x0 x12not (x11 x2 x3 x12 x6))(∀ x12 . x0 x12not (x11 x5 x5 x12 x7))(∀ x12 . x0 x12not (x11 x6 x2 x12 x6))not (x11 x2 x2 x2 x5)not (x11 x2 x2 x5 x2)not (x11 x2 x2 x5 x5)not (x11 x2 x4 x2 x6)not (x11 x2 x5 x5 x2)not (x11 x2 x5 x5 x7)not (x11 x2 x6 x2 x7)not (x11 x2 x6 x3 x2)not (x11 x2 x6 x3 x5)not (x11 x2 x6 x3 x6)not (x11 x2 x6 x3 x7)not (x11 x2 x6 x4 x3)not (x11 x2 x6 x4 x4)not (x11 x2 x6 x5 x3)not (x11 x2 x6 x5 x4)not (x11 x2 x6 x6 x5)not (x11 x2 x6 x7 x2)not (x11 x2 x6 x7 x3)not (x11 x2 x6 x7 x4)not (x11 x2 x6 x7 x5)not (x11 x3 x2 x3 x5)not (x11 x3 x2 x4 x3)not (x11 x3 x2 x4 x4)not (x11 x3 x2 x6 x2)not (x11 x3 x2 x6 x5)not (x11 x3 x3 x4 x2)not (x11 x3 x3 x5 x6)not (x11 x3 x3 x7 x6)not (x11 x3 x4 x4 x2)not (x11 x3 x4 x5 x6)not (x11 x3 x4 x7 x6)not (x11 x3 x5 x6 x2)not (x11 x4 x2 x4 x5)not (x11 x4 x2 x5 x2)not (x11 x4 x2 x5 x5)not (x11 x4 x2 x5 x6)not (x11 x4 x5 x5 x2)not (x11 x4 x5 x5 x6)not (x11 x5 x2 x5 x5)not (x11 x5 x2 x5 x7)not (x11 x5 x2 x6 x3)not (x11 x5 x6 x5 x7)not (x11 x5 x6 x7 x6)not (x11 x5 x7 x7 x6)not (x11 x6 x3 x7 x6)not (x11 x6 x4 x7 x6)∀ x12 . x0 x12∀ x13 . x0 x13∀ x14 . x0 x14∀ x15 . x0 x15∀ x16 . x0 x16x11 x2 x6 x5 x12x11 x2 x6 x13 x14x11 x2 x6 x15 x16x11 x5 x12 x13 x14x11 x5 x12 x15 x16x11 x13 x14 x15 x16False
Known 27e85.. : ∀ x0 x1 : ι → ο . ∀ x2 x3 x4 x5 x6 x7 . (∀ x8 : ι → ο . x8 x2x8 x3x8 x4x8 x5x8 x6x8 x7∀ x9 . x0 x9x8 x9)x0 x2x0 x3x0 x4x0 x5x0 x6x0 x7x1 x2x1 x3x1 x4x1 x5∀ x8 x9 x10 : ι → ι . x8 x2 = x3x8 x3 = x2x8 x4 = x5x8 x5 = x4x9 x2 = x4x9 x3 = x5x9 x4 = x2x9 x5 = x3x10 x2 = x5x10 x3 = x4x10 x4 = x3x10 x5 = x2∀ x11 : ι → ι → ι → ι → ο . (∀ x12 x13 . x0 x12x0 x13not (x11 x12 x13 x12 x13))(∀ x12 x13 x14 x15 . x11 x12 x13 x14 x15x11 x14 x15 x12 x13)(∀ x12 x13 . x0 x12x0 x13not (x11 x12 x13 x7 x7))(∀ x12 x13 x14 x15 . x0 x12x1 x13x0 x14x1 x15not (x11 x12 x13 x14 x15)not (x11 x12 (x8 x13) x14 (x8 x15)))(∀ x12 x13 x14 x15 . x0 x12x1 x13x0 x14x1 x15not (x11 x12 x13 x14 x15)not (x11 x12 (x9 x13) x14 (x9 x15)))(∀ x12 x13 x14 x15 . x0 x12x1 x13x0 x14x1 x15not (x11 x12 x13 x14 x15)not (x11 x12 (x10 x13) x14 (x10 x15)))(∀ x12 . x0 x12not (x11 x4 x6 x5 x12))(∀ x12 . x0 x12not (x11 x4 x7 x5 x12))(∀ x12 . x0 x12not (x11 x5 x6 x6 x12))(∀ x12 . x0 x12not (x11 x5 x7 x6 x12))(∀ x12 . x0 x12not (x11 x6 x6 x2 x12))(∀ x12 . x0 x12not (x11 x6 x7 x2 x12))(∀ x12 . x0 x12not (x11 x2 x2 x12 x7))(∀ x12 . x0 x12not (x11 x2 x3 x12 x6))(∀ x12 . x0 x12not (x11 x6 x2 x12 x6))(∀ x12 . x0 x12not (x11 x6 x3 x12 x7))not (x11 x2 x2 x4 x2)not (x11 x2 x2 x5 x2)not (x11 x2 x2 x6 x3)not (x11 x2 x3 x6 x2)not (x11 x2 x4 x2 x6)not (x11 x2 x5 x4 x6)not (x11 x2 x6 x2 x7)not (x11 x2 x6 x3 x2)not (x11 x2 x6 x3 x5)not (x11 x2 x6 x3 x6)not (x11 x2 x6 x3 x7)not (x11 x2 x6 x4 x3)not (x11 x2 x6 x4 x4)not (x11 x2 x6 x5 x3)not (x11 x2 x6 x5 x4)not (x11 x2 x6 x6 x5)not (x11 x2 x6 x7 x2)not (x11 x2 x6 x7 x3)not (x11 x2 x6 x7 x4)not (x11 x2 x6 x7 x5)not (x11 x3 x2 x6 x2)not (x11 x3 x5 x6 x2)not (x11 x4 x2 x4 x7)not (x11 x4 x2 x5 x2)not (x11 x4 x2 x6 x3)not (x11 x4 x3 x6 x2)not (x11 x4 x5 x4 x6)not (x11 x4 x6 x6 x4)not (x11 x5 x2 x6 x3)not (x11 x5 x3 x6 x2)not (x11 x6 x3 x7 x6)not (x11 x6 x4 x7 x6)∀ x12 . x0 x12∀ x13 . x0 x13∀ x14 . x0 x14∀ x15 . x0 x15∀ x16 . x0 x16x11 x2 x6 x6 x12x11 x2 x6 x13 x14x11 x2 x6 x15 x16x11 x6 x12 x13 x14x11 x6 x12 x15 x16x11 x13 x14 x15 x16False
Known 119b1.. : ∀ x0 x1 : ι → ο . ∀ x2 x3 x4 x5 x6 x7 . (∀ x8 : ι → ο . x8 x2x8 x3x8 x4x8 x5x8 x6x8 x7∀ x9 . x0 x9x8 x9)x0 x2x0 x3x0 x4x0 x5x0 x6x0 x7x1 x2x1 x3x1 x4x1 x5∀ x8 x9 x10 : ι → ι . x8 x2 = x3x8 x3 = x2x8 x4 = x5x8 x5 = x4x9 x2 = x4x9 x3 = x5x9 x4 = x2x9 x5 = x3x10 x2 = x5x10 x3 = x4x10 x4 = x3x10 x5 = x2∀ x11 : ι → ι → ι → ι → ο . (∀ x12 x13 . x0 x12x0 x13not (x11 x12 x13 x12 x13))(∀ x12 x13 x14 x15 . x11 x12 x13 x14 x15x11 x14 x15 x12 x13)(∀ x12 x13 . x0 x12x0 x13not (x11 x12 x13 x7 x7))(∀ x12 x13 x14 x15 . x0 x12x1 x13x0 x14x1 x15not (x11 x12 x13 x14 x15)not (x11 x12 (x8 x13) x14 (x8 x15)))(∀ x12 x13 x14 x15 . x0 x12x1 x13x0 x14x1 x15not (x11 x12 x13 x14 x15)not (x11 x12 (x9 x13) x14 (x9 x15)))(∀ x12 x13 x14 x15 . x0 x12x1 x13x0 x14x1 x15not (x11 x12 x13 x14 x15)not (x11 x12 (x10 x13) x14 (x10 x15)))(∀ x12 . x0 x12not (x11 x4 x6 x7 x12))(∀ x12 . x0 x12not (x11 x4 x7 x7 x12))(∀ x12 . x0 x12not (x11 x6 x6 x2 x12))(∀ x12 . x0 x12not (x11 x6 x7 x2 x12))(∀ x12 . x0 x12not (x11 x2 x3 x12 x6))(∀ x12 . x0 x12not (x11 x6 x2 x12 x6))not (x11 x2 x2 x7 x6)not (x11 x2 x4 x2 x6)not (x11 x2 x5 x7 x6)not (x11 x2 x6 x2 x7)not (x11 x2 x6 x3 x2)not (x11 x2 x6 x3 x5)not (x11 x2 x6 x3 x6)not (x11 x2 x6 x3 x7)not (x11 x2 x6 x4 x3)not (x11 x2 x6 x4 x4)not (x11 x2 x6 x5 x3)not (x11 x2 x6 x5 x4)not (x11 x2 x6 x6 x5)not (x11 x2 x6 x7 x2)not (x11 x2 x6 x7 x3)not (x11 x2 x6 x7 x4)not (x11 x2 x6 x7 x5)not (x11 x3 x3 x7 x6)not (x11 x3 x4 x7 x6)not (x11 x4 x2 x4 x5)not (x11 x4 x2 x5 x2)not (x11 x4 x2 x5 x5)not (x11 x4 x5 x5 x2)not (x11 x5 x2 x5 x5)not (x11 x5 x6 x7 x6)not (x11 x5 x7 x7 x6)not (x11 x6 x3 x7 x6)not (x11 x6 x4 x7 x6)∀ x12 . x0 x12∀ x13 . x0 x13∀ x14 . x0 x14∀ x15 . x0 x15∀ x16 . x0 x16x11 x2 x6 x7 x12x11 x2 x6 x13 x14x11 x2 x6 x15 x16x11 x7 x12 x13 x14x11 x7 x12 x15 x16x11 x13 x14 x15 x16False
Known 9354b.. : ∀ x0 x1 : ι → ο . ∀ x2 x3 x4 x5 x6 x7 . (∀ x8 : ι → ο . x8 x2x8 x3x8 x4x8 x5x8 x6x8 x7∀ x9 . x0 x9x8 x9)x0 x2x0 x3x0 x4x0 x5x0 x6x0 x7x1 x2x1 x3x1 x4x1 x5∀ x8 x9 x10 : ι → ι . x8 x2 = x3x8 x3 = x2x8 x4 = x5x8 x5 = x4x9 x2 = x4x9 x3 = x5x9 x4 = x2x9 x5 = x3x10 x2 = x5x10 x3 = x4x10 x4 = x3x10 x5 = x2∀ x11 : ι → ι → ι → ι → ο . (∀ x12 x13 . x0 x12x0 x13not (x11 x12 x13 x12 x13))(∀ x12 x13 x14 x15 . x11 x12 x13 x14 x15x11 x14 x15 x12 x13)(∀ x12 x13 . x0 x12x0 x13not (x11 x12 x13 x7 x7))(∀ x12 x13 x14 x15 . x0 x12x1 x13x0 x14x1 x15not (x11 x12 x13 x14 x15)not (x11 x12 (x8 x13) x14 (x8 x15)))(∀ x12 x13 x14 x15 . x0 x12x1 x13x0 x14x1 x15not (x11 x12 x13 x14 x15)not (x11 x12 (x9 x13) x14 (x9 x15)))(∀ x12 x13 x14 x15 . x0 x12x1 x13x0 x14x1 x15not (x11 x12 x13 x14 x15)not (x11 x12 (x10 x13) x14 (x10 x15)))(∀ x12 . x0 x12not (x11 x4 x6 x5 x12))(∀ x12 . x0 x12not (x11 x4 x7 x5 x12))(∀ x12 . x0 x12not (x11 x5 x7 x6 x12))(∀ x12 . x0 x12not (x11 x6 x6 x2 x12))(∀ x12 . x0 x12not (x11 x6 x7 x2 x12))(∀ x12 . x0 x12not (x11 x2 x2 x12 x7))(∀ x12 . x0 x12not (x11 x2 x3 x12 x6))(∀ x12 . x0 x12not (x11 x5 x5 x12 x7))(∀ x12 . x0 x12not (x11 x6 x2 x12 x6))(∀ x12 . x0 x12not (x11 x6 x3 x12 x7))not (x11 x2 x2 x2 x5)not (x11 x2 x2 x3 x4)not (x11 x2 x2 x4 x2)not (x11 x2 x2 x5 x2)not (x11 x2 x2 x5 x5)not (x11 x2 x2 x6 x3)not (x11 x2 x3 x6 x2)not (x11 x2 x4 x3 x2)not (x11 x2 x4 x4 x7)not (x11 x2 x4 x5 x6)not (x11 x2 x4 x7 x6)not (x11 x2 x5 x2 x7)not (x11 x2 x6 x2 x7)not (x11 x2 x7 x3 x3)not (x11 x2 x7 x3 x4)not (x11 x2 x7 x3 x6)not (x11 x2 x7 x3 x7)not (x11 x2 x7 x4 x2)not (x11 x2 x7 x4 x5)not (x11 x2 x7 x5 x2)not (x11 x2 x7 x6 x4)not (x11 x2 x7 x7 x2)not (x11 x2 x7 x7 x3)not (x11 x2 x7 x7 x4)not (x11 x2 x7 x7 x5)not (x11 x3 x2 x4 x4)not (x11 x3 x2 x4 x7)not (x11 x3 x2 x5 x7)not (x11 x3 x2 x6 x5)not (x11 x3 x4 x4 x2)not (x11 x3 x5 x4 x6)not (x11 x3 x5 x5 x7)not (x11 x3 x5 x6 x2)not (x11 x4 x2 x6 x3)not (x11 x4 x3 x4 x6)not (x11 x4 x3 x5 x7)not (x11 x4 x3 x6 x2)not (x11 x4 x4 x4 x7)not (x11 x4 x4 x5 x7)not (x11 x4 x7 x6 x5)∀ x12 . x0 x12∀ x13 . x0 x13∀ x14 . x0 x14∀ x15 . x0 x15∀ x16 . x0 x16x11 x2 x7 x2 x12x11 x2 x7 x13 x14x11 x2 x7 x15 x16x11 x2 x12 x13 x14x11 x2 x12 x15 x16x11 x13 x14 x15 x16False
Known cc3e4.. : ∀ x0 x1 : ι → ο . ∀ x2 x3 x4 x5 x6 x7 . (∀ x8 : ι → ο . x8 x2x8 x3x8 x4x8 x5x8 x6x8 x7∀ x9 . x0 x9x8 x9)x0 x2x0 x3x0 x4x0 x5x0 x6x0 x7x1 x2x1 x3x1 x4x1 x5∀ x8 x9 x10 : ι → ι . x8 x2 = x3x8 x3 = x2x8 x4 = x5x8 x5 = x4x9 x2 = x4x9 x3 = x5x9 x4 = x2x9 x5 = x3x10 x2 = x5x10 x3 = x4x10 x4 = x3x10 x5 = x2∀ x11 : ι → ι → ι → ι → ο . (∀ x12 x13 . x0 x12x0 x13not (x11 x12 x13 x12 x13))(∀ x12 x13 x14 x15 . x11 x12 x13 x14 x15x11 x14 x15 x12 x13)(∀ x12 x13 . x0 x12x0 x13not (x11 x12 x13 x7 x7))(∀ x12 x13 x14 x15 . x0 x12x1 x13x0 x14x1 x15not (x11 x12 x13 x14 x15)not (x11 x12 (x8 x13) x14 (x8 x15)))(∀ x12 x13 x14 x15 . x0 x12x1 x13x0 x14x1 x15not (x11 x12 x13 x14 x15)not (x11 x12 (x9 x13) x14 (x9 x15)))(∀ x12 x13 x14 x15 . x0 x12x1 x13x0 x14x1 x15not (x11 x12 x13 x14 x15)not (x11 x12 (x10 x13) x14 (x10 x15)))(∀ x12 . x0 x12not (x11 x4 x6 x5 x12))(∀ x12 . x0 x12not (x11 x4 x7 x5 x12))(∀ x12 . x0 x12not (x11 x6 x6 x2 x12))(∀ x12 . x0 x12not (x11 x6 x7 x2 x12))(∀ x12 . x0 x12not (x11 x2 x2 x12 x7))(∀ x12 . x0 x12not (x11 x2 x3 x12 x6))(∀ x12 . x0 x12not (x11 x5 x5 x12 x7))(∀ x12 . x0 x12not (x11 x6 x3 x12 x7))not (x11 x2 x2 x5 x2)not (x11 x2 x2 x5 x5)not (x11 x2 x4 x3 x2)not (x11 x2 x4 x4 x7)not (x11 x2 x4 x5 x6)not (x11 x2 x5 x2 x7)not (x11 x2 x5 x5 x2)not (x11 x2 x6 x2 x7)not (x11 x2 x7 x3 x3)not (x11 x2 x7 x3 x4)not (x11 x2 x7 x3 x6)not (x11 x2 x7 x3 x7)not (x11 x2 x7 x4 x2)not (x11 x2 x7 x4 x5)not (x11 x2 x7 x5 x2)not (x11 x2 x7 x6 x4)not (x11 x2 x7 x7 x2)not (x11 x2 x7 x7 x3)not (x11 x2 x7 x7 x4)not (x11 x2 x7 x7 x5)not (x11 x3 x2 x3 x5)not (x11 x3 x2 x4 x3)not (x11 x3 x2 x4 x4)not (x11 x3 x2 x4 x7)not (x11 x3 x2 x5 x7)not (x11 x3 x2 x6 x2)not (x11 x3 x2 x6 x5)not (x11 x3 x2 x7 x6)not (x11 x3 x5 x4 x6)not (x11 x3 x5 x5 x7)not (x11 x3 x5 x6 x2)not (x11 x3 x5 x7 x6)not (x11 x5 x2 x5 x5)not (x11 x5 x3 x5 x6)not (x11 x5 x4 x5 x6)∀ x12 . x0 x12∀ x13 . x0 x13∀ x14 . x0 x14∀ x15 . x0 x15∀ x16 . x0 x16x11 x2 x7 x3 x12x11 x2 x7 x13 x14x11 x2 x7 x15 x16x11 x3 x12 x13 x14x11 x3 x12 x15 x16x11 x13 x14 x15 x16False
Known ee4dd.. : ∀ x0 x1 : ι → ο . ∀ x2 x3 x4 x5 x6 x7 . (∀ x8 : ι → ο . x8 x2x8 x3x8 x4x8 x5x8 x6x8 x7∀ x9 . x0 x9x8 x9)x0 x2x0 x3x0 x4x0 x5x0 x6x0 x7x1 x2x1 x3x1 x4x1 x5∀ x8 x9 x10 : ι → ι . x8 x2 = x3x8 x3 = x2x8 x4 = x5x8 x5 = x4x9 x2 = x4x9 x3 = x5x9 x4 = x2x9 x5 = x3x10 x2 = x5x10 x3 = x4x10 x4 = x3x10 x5 = x2∀ x11 : ι → ι → ι → ι → ο . (∀ x12 x13 . x0 x12x0 x13not (x11 x12 x13 x12 x13))(∀ x12 x13 x14 x15 . x11 x12 x13 x14 x15x11 x14 x15 x12 x13)(∀ x12 x13 . x0 x12x0 x13not (x11 x12 x13 x7 x7))(∀ x12 x13 x14 x15 . x0 x12x1 x13x0 x14x1 x15not (x11 x12 x13 x14 x15)not (x11 x12 (x8 x13) x14 (x8 x15)))(∀ x12 x13 x14 x15 . x0 x12x1 x13x0 x14x1 x15not (x11 x12 x13 x14 x15)not (x11 x12 (x9 x13) x14 (x9 x15)))(∀ x12 x13 x14 x15 . x0 x12x1 x13x0 x14x1 x15not (x11 x12 x13 x14 x15)not (x11 x12 (x10 x13) x14 (x10 x15)))(∀ x12 . x0 x12not (x11 x4 x6 x5 x12))(∀ x12 . x0 x12not (x11 x4 x6 x7 x12))(∀ x12 . x0 x12not (x11 x4 x7 x5 x12))(∀ x12 . x0 x12not (x11 x4 x7 x7 x12))(∀ x12 . x0 x12not (x11 x5 x6 x6 x12))(∀ x12 . x0 x12not (x11 x6 x6 x2 x12))(∀ x12 . x0 x12not (x11 x6 x7 x2 x12))(∀ x12 . x0 x12not (x11 x2 x2 x12 x7))(∀ x12 . x0 x12not (x11 x2 x3 x12 x6))(∀ x12 . x0 x12not (x11 x5 x5 x12 x7))(∀ x12 . x0 x12not (x11 x6 x2 x12 x6))(∀ x12 . x0 x12not (x11 x6 x3 x12 x7))not (x11 x2 x2 x3 x4)not (x11 x2 x2 x4 x2)not (x11 x2 x2 x6 x3)not (x11 x2 x3 x6 x2)not (x11 x2 x4 x3 x2)not (x11 x2 x4 x4 x7)not (x11 x2 x4 x5 x6)not (x11 x2 x4 x7 x6)not (x11 x2 x5 x2 x7)not (x11 x2 x6 x2 x7)not (x11 x2 x7 x3 x3)not (x11 x2 x7 x3 x4)not (x11 x2 x7 x3 x6)not (x11 x2 x7 x3 x7)not (x11 x2 x7 x4 x2)not (x11 x2 x7 x4 x5)not (x11 x2 x7 x5 x2)not (x11 x2 x7 x6 x4)not (x11 x2 x7 x7 x2)not (x11 x2 x7 x7 x3)not (x11 x2 x7 x7 x4)not (x11 x2 x7 x7 x5)not (x11 x3 x2 x4 x3)not (x11 x3 x2 x4 x4)not (x11 x3 x2 x4 x7)not (x11 x3 x2 x6 x5)not (x11 x3 x3 x4 x2)not (x11 x3 x4 x4 x2)not (x11 x3 x5 x4 x6)not (x11 x3 x5 x6 x2)not (x11 x4 x2 x4 x5)not (x11 x4 x2 x5 x2)not (x11 x4 x2 x5 x5)not (x11 x4 x2 x6 x3)not (x11 x4 x3 x4 x6)not (x11 x4 x3 x5 x7)not (x11 x4 x3 x6 x2)not (x11 x4 x4 x4 x7)not (x11 x4 x4 x5 x7)not (x11 x4 x7 x6 x5)not (x11 x5 x6 x7 x6)not (x11 x6 x5 x7 x6)∀ x12 . x0 x12∀ x13 . x0 x13∀ x14 . x0 x14∀ x15 . x0 x15∀ x16 . x0 x16x11 x2 x7 x4 x12x11 x2 x7 x13 x14x11 x2 x7 x15 x16x11 x4 x12 x13 x14x11 x4 x12 x15 x16x11 x13 x14 x15 x16False
Known 4a25b.. : ∀ x0 x1 : ι → ο . ∀ x2 x3 x4 x5 x6 x7 . (∀ x8 : ι → ο . x8 x2x8 x3x8 x4x8 x5x8 x6x8 x7∀ x9 . x0 x9x8 x9)x0 x2x0 x3x0 x4x0 x5x0 x6x0 x7x1 x2x1 x3x1 x4x1 x5∀ x8 x9 x10 : ι → ι . x8 x2 = x3x8 x3 = x2x8 x4 = x5x8 x5 = x4x9 x2 = x4x9 x3 = x5x9 x4 = x2x9 x5 = x3x10 x2 = x5x10 x3 = x4x10 x4 = x3x10 x5 = x2∀ x11 : ι → ι → ι → ι → ο . (∀ x12 x13 . x0 x12x0 x13not (x11 x12 x13 x12 x13))(∀ x12 x13 x14 x15 . x11 x12 x13 x14 x15x11 x14 x15 x12 x13)(∀ x12 x13 . x0 x12x0 x13not (x11 x12 x13 x7 x7))(∀ x12 x13 x14 x15 . x0 x12x1 x13x0 x14x1 x15not (x11 x12 x13 x14 x15)not (x11 x12 (x8 x13) x14 (x8 x15)))(∀ x12 x13 x14 x15 . x0 x12x1 x13x0 x14x1 x15not (x11 x12 x13 x14 x15)not (x11 x12 (x9 x13) x14 (x9 x15)))(∀ x12 x13 x14 x15 . x0 x12x1 x13x0 x14x1 x15not (x11 x12 x13 x14 x15)not (x11 x12 (x10 x13) x14 (x10 x15)))(∀ x12 . x0 x12not (x11 x4 x6 x5 x12))(∀ x12 . x0 x12not (x11 x4 x7 x5 x12))(∀ x12 . x0 x12not (x11 x5 x6 x6 x12))(∀ x12 . x0 x12not (x11 x5 x7 x6 x12))(∀ x12 . x0 x12not (x11 x6 x6 x2 x12))(∀ x12 . x0 x12not (x11 x6 x7 x2 x12))(∀ x12 . x0 x12not (x11 x2 x2 x12 x7))(∀ x12 . x0 x12not (x11 x2 x3 x12 x6))(∀ x12 . x0 x12not (x11 x5 x5 x12 x7))(∀ x12 . x0 x12not (x11 x6 x2 x12 x6))(∀ x12 . x0 x12not (x11 x6 x3 x12 x7))not (x11 x2 x2 x2 x5)not (x11 x2 x2 x5 x2)not (x11 x2 x2 x5 x5)not (x11 x2 x4 x5 x6)not (x11 x2 x5 x2 x7)not (x11 x2 x5 x5 x2)not (x11 x2 x6 x2 x7)not (x11 x2 x7 x3 x3)not (x11 x2 x7 x3 x4)not (x11 x2 x7 x3 x6)not (x11 x2 x7 x3 x7)not (x11 x2 x7 x4 x2)not (x11 x2 x7 x4 x5)not (x11 x2 x7 x5 x2)not (x11 x2 x7 x6 x4)not (x11 x2 x7 x7 x2)not (x11 x2 x7 x7 x3)not (x11 x2 x7 x7 x4)not (x11 x2 x7 x7 x5)not (x11 x3 x2 x3 x5)not (x11 x3 x2 x4 x3)not (x11 x3 x2 x4 x4)not (x11 x3 x2 x5 x7)not (x11 x3 x2 x6 x2)not (x11 x3 x2 x6 x5)not (x11 x3 x2 x7 x6)not (x11 x3 x3 x4 x2)not (x11 x3 x4 x4 x2)not (x11 x3 x5 x5 x7)not (x11 x3 x5 x6 x2)not (x11 x3 x5 x7 x6)not (x11 x4 x2 x4 x5)not (x11 x4 x2 x5 x2)not (x11 x4 x3 x5 x7)not (x11 x4 x4 x5 x7)not (x11 x4 x5 x5 x2)not (x11 x5 x2 x5 x5)not (x11 x5 x2 x6 x3)not (x11 x5 x3 x5 x6)not (x11 x5 x3 x6 x2)not (x11 x5 x4 x5 x6)not (x11 x5 x6 x5 x7)not (x11 x5 x6 x7 x6)not (x11 x5 x7 x7 x6)not (x11 x6 x5 x7 x6)∀ x12 . x0 x12∀ x13 . x0 x13∀ x14 . x0 x14∀ x15 . x0 x15∀ x16 . x0 x16x11 x2 x7 x5 x12x11 x2 x7 x13 x14x11 x2 x7 x15 x16x11 x5 x12 x13 x14x11 x5 x12 x15 x16x11 x13 x14 x15 x16False
Known b3eff.. : ∀ x0 x1 : ι → ο . ∀ x2 x3 x4 x5 x6 x7 . (∀ x8 : ι → ο . x8 x2x8 x3x8 x4x8 x5x8 x6x8 x7∀ x9 . x0 x9x8 x9)x0 x2x0 x3x0 x4x0 x5x0 x6x0 x7x1 x2x1 x3x1 x4x1 x5∀ x8 x9 x10 : ι → ι . x8 x2 = x3x8 x3 = x2x8 x4 = x5x8 x5 = x4x9 x2 = x4x9 x3 = x5x9 x4 = x2x9 x5 = x3x10 x2 = x5x10 x3 = x4x10 x4 = x3x10 x5 = x2∀ x11 : ι → ι → ι → ι → ο . (∀ x12 x13 . x0 x12x0 x13not (x11 x12 x13 x12 x13))(∀ x12 x13 x14 x15 . x11 x12 x13 x14 x15x11 x14 x15 x12 x13)(∀ x12 x13 . x0 x12x0 x13not (x11 x12 x13 x7 x7))(∀ x12 x13 x14 x15 . x0 x12x1 x13x0 x14x1 x15not (x11 x12 x13 x14 x15)not (x11 x12 (x8 x13) x14 (x8 x15)))(∀ x12 x13 x14 x15 . x0 x12x1 x13x0 x14x1 x15not (x11 x12 x13 x14 x15)not (x11 x12 (x9 x13) x14 (x9 x15)))(∀ x12 x13 x14 x15 . x0 x12x1 x13x0 x14x1 x15not (x11 x12 x13 x14 x15)not (x11 x12 (x10 x13) x14 (x10 x15)))(∀ x12 . x0 x12not (x11 x4 x6 x5 x12))(∀ x12 . x0 x12not (x11 x4 x7 x5 x12))(∀ x12 . x0 x12not (x11 x5 x6 x6 x12))(∀ x12 . x0 x12not (x11 x5 x7 x6 x12))(∀ x12 . x0 x12not (x11 x6 x6 x2 x12))(∀ x12 . x0 x12not (x11 x6 x7 x2 x12))(∀ x12 . x0 x12not (x11 x2 x2 x12 x7))(∀ x12 . x0 x12not (x11 x2 x3 x12 x6))(∀ x12 . x0 x12not (x11 x5 x5 x12 x7))(∀ x12 . x0 x12not (x11 x6 x2 x12 x6))(∀ x12 . x0 x12not (x11 x6 x3 x12 x7))not (x11 x2 x2 x4 x2)not (x11 x2 x2 x5 x2)not (x11 x2 x2 x6 x3)not (x11 x2 x3 x6 x2)not (x11 x2 x4 x4 x7)not (x11 x2 x5 x2 x7)not (x11 x2 x6 x2 x7)not (x11 x2 x7 x3 x3)not (x11 x2 x7 x3 x4)not (x11 x2 x7 x3 x6)not (x11 x2 x7 x3 x7)not (x11 x2 x7 x4 x2)not (x11 x2 x7 x4 x5)not (x11 x2 x7 x5 x2)not (x11 x2 x7 x6 x4)not (x11 x2 x7 x7 x2)not (x11 x2 x7 x7 x3)not (x11 x2 x7 x7 x4)not (x11 x2 x7 x7 x5)not (x11 x3 x2 x6 x2)not (x11 x3 x2 x6 x5)not (x11 x3 x5 x6 x2)not (x11 x4 x2 x5 x2)not (x11 x4 x2 x6 x3)not (x11 x4 x3 x4 x6)not (x11 x4 x3 x6 x2)not (x11 x4 x4 x4 x7)not (x11 x4 x7 x6 x5)not (x11 x5 x2 x6 x3)not (x11 x5 x3 x6 x2)not (x11 x6 x5 x7 x6)∀ x12 . x0 x12∀ x13 . x0 x13∀ x14 . x0 x14∀ x15 . x0 x15∀ x16 . x0 x16x11 x2 x7 x6 x12x11 x2 x7 x13 x14x11 x2 x7 x15 x16x11 x6 x12 x13 x14x11 x6 x12 x15 x16x11 x13 x14 x15 x16False
Known 195dd.. : ∀ x0 x1 : ι → ο . ∀ x2 x3 x4 x5 x6 x7 . (∀ x8 : ι → ο . x8 x2x8 x3x8 x4x8 x5x8 x6x8 x7∀ x9 . x0 x9x8 x9)x0 x2x0 x3x0 x4x0 x5x0 x6x0 x7x1 x2x1 x3x1 x4x1 x5∀ x8 x9 x10 : ι → ι . x8 x2 = x3x8 x3 = x2x8 x4 = x5x8 x5 = x4x9 x2 = x4x9 x3 = x5x9 x4 = x2x9 x5 = x3x10 x2 = x5x10 x3 = x4x10 x4 = x3x10 x5 = x2∀ x11 : ι → ι → ι → ι → ο . (∀ x12 x13 . x0 x12x0 x13not (x11 x12 x13 x12 x13))(∀ x12 x13 x14 x15 . x11 x12 x13 x14 x15x11 x14 x15 x12 x13)(∀ x12 x13 . x0 x12x0 x13not (x11 x12 x13 x7 x7))(∀ x12 x13 x14 x15 . x0 x12x1 x13x0 x14x1 x15not (x11 x12 x13 x14 x15)not (x11 x12 (x8 x13) x14 (x8 x15)))(∀ x12 x13 x14 x15 . x0 x12x1 x13x0 x14x1 x15not (x11 x12 x13 x14 x15)not (x11 x12 (x9 x13) x14 (x9 x15)))(∀ x12 x13 x14 x15 . x0 x12x1 x13x0 x14x1 x15not (x11 x12 x13 x14 x15)not (x11 x12 (x10 x13) x14 (x10 x15)))(∀ x12 . x0 x12not (x11 x4 x6 x7 x12))(∀ x12 . x0 x12not (x11 x4 x7 x7 x12))(∀ x12 . x0 x12not (x11 x6 x6 x2 x12))(∀ x12 . x0 x12not (x11 x6 x7 x2 x12))(∀ x12 . x0 x12not (x11 x2 x2 x12 x7))(∀ x12 . x0 x12not (x11 x2 x3 x12 x6))(∀ x12 . x0 x12not (x11 x5 x5 x12 x7))(∀ x12 . x0 x12not (x11 x6 x2 x12 x6))(∀ x12 . x0 x12not (x11 x6 x3 x12 x7))not (x11 x2 x4 x7 x6)not (x11 x2 x5 x2 x7)not (x11 x2 x6 x2 x7)not (x11 x2 x7 x3 x3)not (x11 x2 x7 x3 x4)not (x11 x2 x7 x3 x6)not (x11 x2 x7 x3 x7)not (x11 x2 x7 x4 x2)not (x11 x2 x7 x4 x5)not (x11 x2 x7 x5 x2)not (x11 x2 x7 x6 x4)not (x11 x2 x7 x7 x2)not (x11 x2 x7 x7 x3)not (x11 x2 x7 x7 x4)not (x11 x2 x7 x7 x5)not (x11 x3 x2 x7 x6)not (x11 x3 x5 x7 x6)not (x11 x4 x2 x4 x5)not (x11 x4 x2 x5 x2)not (x11 x4 x2 x5 x5)not (x11 x4 x5 x5 x2)not (x11 x5 x2 x5 x5)not (x11 x5 x6 x7 x6)not (x11 x5 x7 x7 x6)not (x11 x6 x5 x7 x6)∀ x12 . x0 x12∀ x13 . x0 x13∀ x14 . x0 x14∀ x15 . x0 x15∀ x16 . x0 x16x11 x2 x7 x7 x12x11 x2 x7 x13 x14x11 x2 x7 x15 x16x11 x7 x12 x13 x14x11 x7 x12 x15 x16x11 x13 x14 x15 x16False
Known b57ae.. : ∀ x0 x1 : ι → ο . ∀ x2 x3 x4 x5 x6 x7 . (∀ x8 : ι → ο . x8 x2x8 x3x8 x4x8 x5x8 x6x8 x7∀ x9 . x0 x9x8 x9)x0 x2x0 x3x0 x4x0 x5x0 x6x0 x7x1 x2x1 x3x1 x4x1 x5∀ x8 x9 x10 : ι → ι . x8 x2 = x3x8 x3 = x2x8 x4 = x5x8 x5 = x4x9 x2 = x4x9 x3 = x5x9 x4 = x2x9 x5 = x3x10 x2 = x5x10 x3 = x4x10 x4 = x3x10 x5 = x2∀ x11 : ι → ι → ι → ι → ο . (∀ x12 x13 . x0 x12x0 x13not (x11 x12 x13 x12 x13))(∀ x12 x13 x14 x15 . x11 x12 x13 x14 x15x11 x14 x15 x12 x13)(∀ x12 x13 . x0 x12x0 x13not (x11 x12 x13 x7 x7))(∀ x12 x13 x14 x15 . x0 x12x1 x13x0 x14x1 x15not (x11 x12 x13 x14 x15)not (x11 x12 (x8 x13) x14 (x8 x15)))(∀ x12 x13 x14 x15 . x0 x12x1 x13x0 x14x1 x15not (x11 x12 x13 x14 x15)not (x11 x12 (x9 x13) x14 (x9 x15)))(∀ x12 x13 x14 x15 . x0 x12x1 x13x0 x14x1 x15not (x11 x12 x13 x14 x15)not (x11 x12 (x10 x13) x14 (x10 x15)))(∀ x12 . x0 x12not (x11 x4 x6 x5 x12))(∀ x12 . x0 x12not (x11 x4 x6 x7 x12))(∀ x12 . x0 x12not (x11 x5 x7 x6 x12))(∀ x12 . x0 x12not (x11 x6 x6 x4 x12))(∀ x12 . x0 x12not (x11 x6 x7 x4 x12))not (x11 x2 x2 x2 x3)not (x11 x2 x2 x4 x2)not (x11 x2 x2 x5 x2)not (x11 x2 x2 x5 x5)not (x11 x2 x2 x6 x2)not (x11 x2 x2 x6 x3)not (x11 x2 x2 x7 x3)not (x11 x2 x3 x4 x2)not (x11 x2 x3 x6 x2)not (x11 x2 x4 x2 x6)not (x11 x2 x4 x3 x2)not (x11 x2 x4 x3 x7)not (x11 x2 x4 x7 x6)not (x11 x2 x5 x3 x2)not (x11 x2 x5 x4 x6)not (x11 x2 x5 x5 x7)not (x11 x2 x5 x7 x6)not (x11 x2 x6 x3 x2)not (x11 x2 x6 x3 x7)not (x11 x2 x6 x4 x3)not (x11 x2 x6 x5 x3)not (x11 x2 x6 x5 x4)not (x11 x2 x6 x6 x5)not (x11 x2 x6 x7 x4)not (x11 x2 x7 x4 x2)not (x11 x3 x3 x4 x2)not (x11 x3 x4 x4 x2)not (x11 x3 x5 x4 x2)not (x11 x3 x6 x4 x2)not (x11 x3 x7 x4 x3)not (x11 x3 x7 x5 x3)not (x11 x3 x7 x5 x4)not (x11 x4 x2 x4 x4)not (x11 x4 x2 x4 x5)not (x11 x4 x2 x4 x7)not (x11 x4 x2 x5 x2)not (x11 x4 x2 x5 x5)not (x11 x4 x2 x5 x6)not (x11 x4 x2 x6 x2)not (x11 x4 x2 x6 x3)not (x11 x4 x2 x7 x2)not (x11 x4 x2 x7 x3)not (x11 x4 x2 x7 x5)not (x11 x4 x3 x4 x6)not (x11 x4 x3 x5 x7)not (x11 x4 x5 x5 x2)not (x11 x4 x5 x7 x2)not (x11 x4 x6 x6 x4)not (x11 x5 x2 x5 x5)not (x11 x5 x7 x7 x4)not (x11 x5 x7 x7 x6)not (x11 x6 x4 x7 x6)∀ x12 . x0 x12∀ x13 . x0 x13∀ x14 . x0 x14∀ x15 . x0 x15∀ x16 . x0 x16x11 x4 x2 x2 x12x11 x4 x2 x13 x14x11 x4 x2 x15 x16x11 x2 x12 x13 x14x11 x2 x12 x15 x16x11 x13 x14 x15 x16False
Known 053c0.. : ∀ x0 x1 : ι → ο . ∀ x2 x3 x4 x5 x6 x7 . (∀ x8 : ι → ο . x8 x2x8 x3x8 x4x8 x5x8 x6x8 x7∀ x9 . x0 x9x8 x9)x0 x2x0 x3x0 x4x0 x5x0 x6x0 x7x1 x2x1 x3x1 x4x1 x5∀ x8 x9 x10 : ι → ι . x8 x2 = x3x8 x3 = x2x8 x4 = x5x8 x5 = x4x9 x2 = x4x9 x3 = x5x9 x4 = x2x9 x5 = x3x10 x2 = x5x10 x3 = x4x10 x4 = x3x10 x5 = x2∀ x11 : ι → ι → ι → ι → ο . (∀ x12 x13 . x0 x12x0 x13not (x11 x12 x13 x12 x13))(∀ x12 x13 x14 x15 . x11 x12 x13 x14 x15x11 x14 x15 x12 x13)(∀ x12 x13 . x0 x12x0 x13not (x11 x12 x13 x7 x7))(∀ x12 x13 x14 x15 . x0 x12x1 x13x0 x14x1 x15not (x11 x12 x13 x14 x15)not (x11 x12 (x8 x13) x14 (x8 x15)))(∀ x12 x13 x14 x15 . x0 x12x1 x13x0 x14x1 x15not (x11 x12 x13 x14 x15)not (x11 x12 (x9 x13) x14 (x9 x15)))(∀ x12 x13 x14 x15 . x0 x12x1 x13x0 x14x1 x15not (x11 x12 x13 x14 x15)not (x11 x12 (x10 x13) x14 (x10 x15)))(∀ x12 . x0 x12not (x11 x4 x6 x5 x12))(∀ x12 . x0 x12not (x11 x6 x6 x4 x12))(∀ x12 . x0 x12not (x11 x6 x7 x4 x12))(∀ x12 . x0 x12not (x11 x7 x6 x7 x12))not (x11 x2 x2 x4 x2)not (x11 x2 x2 x7 x3)not (x11 x2 x3 x4 x2)not (x11 x2 x3 x7 x2)not (x11 x2 x4 x3 x2)not (x11 x2 x4 x3 x7)not (x11 x2 x5 x3 x2)not (x11 x2 x5 x5 x7)not (x11 x2 x5 x7 x6)not (x11 x2 x6 x3 x2)not (x11 x2 x6 x3 x7)not (x11 x2 x7 x4 x2)not (x11 x3 x2 x4 x3)not (x11 x3 x2 x5 x7)not (x11 x3 x2 x6 x5)not (x11 x3 x2 x7 x4)not (x11 x3 x2 x7 x6)not (x11 x3 x3 x4 x2)not (x11 x3 x4 x4 x2)not (x11 x3 x5 x4 x2)not (x11 x3 x6 x4 x2)not (x11 x3 x7 x4 x3)not (x11 x3 x7 x4 x6)not (x11 x3 x7 x5 x3)not (x11 x3 x7 x5 x4)not (x11 x3 x7 x6 x4)not (x11 x3 x7 x6 x5)not (x11 x4 x2 x4 x4)not (x11 x4 x2 x4 x5)not (x11 x4 x2 x4 x7)not (x11 x4 x2 x5 x2)not (x11 x4 x2 x5 x5)not (x11 x4 x2 x5 x6)not (x11 x4 x2 x6 x2)not (x11 x4 x2 x6 x3)not (x11 x4 x2 x7 x2)not (x11 x4 x2 x7 x3)not (x11 x4 x2 x7 x5)not (x11 x4 x6 x6 x4)not (x11 x5 x2 x5 x5)not (x11 x5 x2 x6 x2)not (x11 x5 x2 x6 x5)not (x11 x5 x5 x6 x2)not (x11 x5 x7 x7 x4)not (x11 x5 x7 x7 x6)∀ x12 . x0 x12∀ x13 . x0 x13∀ x14 . x0 x14∀ x15 . x0 x15∀ x16 . x0 x16x11 x4 x2 x3 x12x11 x4 x2 x13 x14x11 x4 x2 x15 x16x11 x3 x12 x13 x14x11 x3 x12 x15 x16x11 x13 x14 x15 x16False
Known b5649.. : ∀ x0 x1 : ι → ο . ∀ x2 x3 x4 x5 x6 x7 . (∀ x8 : ι → ο . x8 x2x8 x3x8 x4x8 x5x8 x6x8 x7∀ x9 . x0 x9x8 x9)x0 x2x0 x3x0 x4x0 x5x0 x6x0 x7x1 x2x1 x3x1 x4x1 x5∀ x8 x9 x10 : ι → ι . x8 x2 = x3x8 x3 = x2x8 x4 = x5x8 x5 = x4x9 x2 = x4x9 x3 = x5x9 x4 = x2x9 x5 = x3x10 x2 = x5x10 x3 = x4x10 x4 = x3x10 x5 = x2∀ x11 : ι → ι → ι → ι → ο . (∀ x12 x13 . x0 x12x0 x13not (x11 x12 x13 x12 x13))(∀ x12 x13 x14 x15 . x11 x12 x13 x14 x15x11 x14 x15 x12 x13)(∀ x12 x13 . x0 x12x0 x13not (x11 x12 x13 x7 x7))(∀ x12 x13 x14 x15 . x0 x12x1 x13x0 x14x1 x15not (x11 x12 x13 x14 x15)not (x11 x12 (x8 x13) x14 (x8 x15)))(∀ x12 x13 x14 x15 . x0 x12x1 x13x0 x14x1 x15not (x11 x12 x13 x14 x15)not (x11 x12 (x9 x13) x14 (x9 x15)))(∀ x12 x13 x14 x15 . x0 x12x1 x13x0 x14x1 x15not (x11 x12 x13 x14 x15)not (x11 x12 (x10 x13) x14 (x10 x15)))(∀ x12 . x0 x12not (x11 x4 x6 x5 x12))(∀ x12 . x0 x12not (x11 x4 x6 x7 x12))(∀ x12 . x0 x12not (x11 x6 x6 x4 x12))(∀ x12 . x0 x12not (x11 x6 x7 x4 x12))not (x11 x2 x2 x2 x3)not (x11 x2 x2 x4 x2)not (x11 x2 x2 x6 x2)not (x11 x2 x2 x6 x3)not (x11 x2 x3 x4 x2)not (x11 x2 x3 x6 x2)not (x11 x2 x4 x2 x6)not (x11 x2 x4 x3 x2)not (x11 x2 x4 x7 x6)not (x11 x2 x5 x4 x6)not (x11 x2 x5 x7 x6)not (x11 x2 x6 x3 x2)not (x11 x2 x6 x4 x3)not (x11 x2 x6 x6 x5)not (x11 x2 x7 x4 x2)not (x11 x3 x2 x4 x3)not (x11 x3 x2 x6 x5)not (x11 x3 x3 x4 x2)not (x11 x3 x4 x4 x2)not (x11 x3 x5 x4 x2)not (x11 x3 x6 x4 x2)not (x11 x3 x7 x4 x3)not (x11 x3 x7 x4 x6)not (x11 x4 x2 x4 x4)not (x11 x4 x2 x4 x5)not (x11 x4 x2 x4 x7)not (x11 x4 x2 x5 x2)not (x11 x4 x2 x5 x5)not (x11 x4 x2 x5 x6)not (x11 x4 x2 x6 x2)not (x11 x4 x2 x6 x3)not (x11 x4 x2 x7 x2)not (x11 x4 x2 x7 x3)not (x11 x4 x2 x7 x5)not (x11 x4 x3 x4 x6)not (x11 x4 x3 x5 x7)not (x11 x4 x6 x6 x4)not (x11 x6 x2 x6 x3)not (x11 x6 x4 x7 x6)not (x11 x6 x5 x7 x6)∀ x12 . x0 x12∀ x13 . x0 x13∀ x14 . x0 x14∀ x15 . x0 x15∀ x16 . x0 x16x11 x4 x2 x4 x12x11 x4 x2 x13 x14x11 x4 x2 x15 x16x11 x4 x12 x13 x14x11 x4 x12 x15 x16x11 x13 x14 x15 x16False
Known 37dda.. : ∀ x0 x1 : ι → ο . ∀ x2 x3 x4 x5 x6 x7 . (∀ x8 : ι → ο . x8 x2x8 x3x8 x4x8 x5x8 x6x8 x7∀ x9 . x0 x9x8 x9)x0 x2x0 x3x0 x4x0 x5x0 x6x0 x7x1 x2x1 x3x1 x4x1 x5∀ x8 x9 x10 : ι → ι . x8 x2 = x3x8 x3 = x2x8 x4 = x5x8 x5 = x4x9 x2 = x4x9 x3 = x5x9 x4 = x2x9 x5 = x3x10 x2 = x5x10 x3 = x4x10 x4 = x3x10 x5 = x2∀ x11 : ι → ι → ι → ι → ο . (∀ x12 x13 . x0 x12x0 x13not (x11 x12 x13 x12 x13))(∀ x12 x13 x14 x15 . x11 x12 x13 x14 x15x11 x14 x15 x12 x13)(∀ x12 x13 . x0 x12x0 x13not (x11 x12 x13 x7 x7))(∀ x12 x13 x14 x15 . x0 x12x1 x13x0 x14x1 x15not (x11 x12 x13 x14 x15)not (x11 x12 (x8 x13) x14 (x8 x15)))(∀ x12 x13 x14 x15 . x0 x12x1 x13x0 x14x1 x15not (x11 x12 x13 x14 x15)not (x11 x12 (x9 x13) x14 (x9 x15)))(∀ x12 x13 x14 x15 . x0 x12x1 x13x0 x14x1 x15not (x11 x12 x13 x14 x15)not (x11 x12 (x10 x13) x14 (x10 x15)))(∀ x12 . x0 x12not (x11 x4 x6 x5 x12))(∀ x12 . x0 x12not (x11 x5 x7 x6 x12))(∀ x12 . x0 x12not (x11 x6 x6 x4 x12))(∀ x12 . x0 x12not (x11 x6 x7 x4 x12))(∀ x12 . x0 x12not (x11 x7 x6 x7 x12))not (x11 x2 x2 x4 x2)not (x11 x2 x2 x5 x2)not (x11 x2 x2 x5 x5)not (x11 x2 x2 x6 x2)not (x11 x2 x2 x7 x3)not (x11 x2 x3 x4 x2)not (x11 x2 x3 x7 x2)not (x11 x2 x4 x2 x6)not (x11 x2 x4 x3 x7)not (x11 x2 x5 x3 x2)not (x11 x2 x5 x5 x2)not (x11 x2 x5 x5 x7)not (x11 x2 x5 x7 x6)not (x11 x2 x6 x3 x7)not (x11 x2 x6 x5 x3)not (x11 x2 x6 x5 x4)not (x11 x2 x7 x4 x2)not (x11 x3 x2 x5 x7)not (x11 x3 x2 x6 x5)not (x11 x3 x2 x7 x4)not (x11 x3 x2 x7 x6)not (x11 x3 x3 x4 x2)not (x11 x3 x4 x4 x2)not (x11 x3 x5 x4 x2)not (x11 x3 x6 x4 x2)not (x11 x3 x7 x5 x3)not (x11 x3 x7 x5 x4)not (x11 x4 x2 x4 x4)not (x11 x4 x2 x4 x5)not (x11 x4 x2 x4 x7)not (x11 x4 x2 x5 x2)not (x11 x4 x2 x5 x5)not (x11 x4 x2 x5 x6)not (x11 x4 x2 x6 x2)not (x11 x4 x2 x6 x3)not (x11 x4 x2 x7 x2)not (x11 x4 x2 x7 x3)not (x11 x4 x2 x7 x5)not (x11 x4 x3 x5 x7)not (x11 x4 x5 x5 x2)not (x11 x5 x2 x5 x5)not (x11 x5 x2 x6 x2)not (x11 x5 x2 x6 x3)not (x11 x5 x2 x6 x5)not (x11 x5 x2 x7 x5)not (x11 x5 x7 x7 x4)not (x11 x5 x7 x7 x6)not (x11 x6 x5 x7 x6)∀ x12 . x0 x12∀ x13 . x0 x13∀ x14 . x0 x14∀ x15 . x0 x15∀ x16 . x0 x16x11 x4 x2 x5 x12x11 x4 x2 x13 x14x11 x4 x2 x15 x16x11 x5 x12 x13 x14x11 x5 x12 x15 x16x11 x13 x14 x15 x16False
Known ab78e.. : ∀ x0 x1 : ι → ο . ∀ x2 x3 x4 x5 x6 x7 . (∀ x8 : ι → ο . x8 x2x8 x3x8 x4x8 x5x8 x6x8 x7∀ x9 . x0 x9x8 x9)x0 x2x0 x3x0 x4x0 x5x0 x6x0 x7x1 x2x1 x3x1 x4x1 x5∀ x8 x9 x10 : ι → ι . x8 x2 = x3x8 x3 = x2x8 x4 = x5x8 x5 = x4x9 x2 = x4x9 x3 = x5x9 x4 = x2x9 x5 = x3x10 x2 = x5x10 x3 = x4x10 x4 = x3x10 x5 = x2∀ x11 : ι → ι → ι → ι → ο . (∀ x12 x13 . x0 x12x0 x13not (x11 x12 x13 x12 x13))(∀ x12 x13 x14 x15 . x11 x12 x13 x14 x15x11 x14 x15 x12 x13)(∀ x12 x13 . x0 x12x0 x13not (x11 x12 x13 x7 x7))(∀ x12 x13 x14 x15 . x0 x12x1 x13x0 x14x1 x15not (x11 x12 x13 x14 x15)not (x11 x12 (x8 x13) x14 (x8 x15)))(∀ x12 x13 x14 x15 . x0 x12x1 x13x0 x14x1 x15not (x11 x12 x13 x14 x15)not (x11 x12 (x9 x13) x14 (x9 x15)))(∀ x12 x13 x14 x15 . x0 x12x1 x13x0 x14x1 x15not (x11 x12 x13 x14 x15)not (x11 x12 (x10 x13) x14 (x10 x15)))(∀ x12 . x0 x12not (x11 x4 x6 x5 x12))(∀ x12 . x0 x12not (x11 x4 x6 x7 x12))(∀ x12 . x0 x12not (x11 x5 x7 x6 x12))(∀ x12 . x0 x12not (x11 x6 x6 x4 x12))(∀ x12 . x0 x12not (x11 x6 x7 x4 x12))not (x11 x2 x2 x4 x2)not (x11 x2 x2 x6 x2)not (x11 x2 x3 x4 x2)not (x11 x2 x3 x6 x2)not (x11 x2 x6 x3 x2)not (x11 x2 x6 x4 x3)not (x11 x2 x6 x6 x5)not (x11 x2 x6 x7 x4)not (x11 x2 x7 x4 x2)not (x11 x3 x2 x4 x3)not (x11 x3 x2 x6 x5)not (x11 x3 x2 x7 x4)not (x11 x3 x3 x4 x2)not (x11 x3 x4 x4 x2)not (x11 x3 x5 x4 x2)not (x11 x3 x6 x4 x2)not (x11 x3 x7 x6 x4)not (x11 x3 x7 x6 x5)not (x11 x4 x2 x4 x4)not (x11 x4 x2 x4 x5)not (x11 x4 x2 x4 x7)not (x11 x4 x2 x5 x2)not (x11 x4 x2 x5 x5)not (x11 x4 x2 x5 x6)not (x11 x4 x2 x6 x2)not (x11 x4 x2 x6 x3)not (x11 x4 x2 x7 x2)not (x11 x4 x2 x7 x3)not (x11 x4 x2 x7 x5)not (x11 x4 x3 x4 x6)not (x11 x4 x5 x7 x2)not (x11 x4 x6 x6 x4)not (x11 x5 x2 x6 x2)not (x11 x5 x2 x7 x5)not (x11 x5 x3 x6 x2)not (x11 x5 x5 x6 x2)not (x11 x5 x5 x7 x2)not (x11 x6 x2 x6 x3)not (x11 x6 x4 x7 x6)not (x11 x6 x5 x7 x6)∀ x12 . x0 x12∀ x13 . x0 x13∀ x14 . x0 x14∀ x15 . x0 x15∀ x16 . x0 x16x11 x4 x2 x6 x12x11 x4 x2 x13 x14x11 x4 x2 x15 x16x11 x6 x12 x13 x14x11 x6 x12 x15 x16x11 x13 x14 x15 x16False
Known ebcf0.. : ∀ x0 x1 : ι → ο . ∀ x2 x3 x4 x5 x6 x7 . (∀ x8 : ι → ο . x8 x2x8 x3x8 x4x8 x5x8 x6x8 x7∀ x9 . x0 x9x8 x9)x0 x2x0 x3x0 x4x0 x5x0 x6x0 x7x1 x2x1 x3x1 x4x1 x5∀ x8 x9 x10 : ι → ι . x8 x2 = x3x8 x3 = x2x8 x4 = x5x8 x5 = x4x9 x2 = x4x9 x3 = x5x9 x4 = x2x9 x5 = x3x10 x2 = x5x10 x3 = x4x10 x4 = x3x10 x5 = x2∀ x11 : ι → ι → ι → ι → ο . (∀ x12 x13 . x0 x12x0 x13not (x11 x12 x13 x12 x13))(∀ x12 x13 x14 x15 . x11 x12 x13 x14 x15x11 x14 x15 x12 x13)(∀ x12 x13 . x0 x12x0 x13not (x11 x12 x13 x7 x7))(∀ x12 x13 x14 x15 . x0 x12x1 x13x0 x14x1 x15not (x11 x12 x13 x14 x15)not (x11 x12 (x8 x13) x14 (x8 x15)))(∀ x12 x13 x14 x15 . x0 x12x1 x13x0 x14x1 x15not (x11 x12 x13 x14 x15)not (x11 x12 (x9 x13) x14 (x9 x15)))(∀ x12 x13 x14 x15 . x0 x12x1 x13x0 x14x1 x15not (x11 x12 x13 x14 x15)not (x11 x12 (x10 x13) x14 (x10 x15)))(∀ x12 . x0 x12not (x11 x4 x6 x7 x12))(∀ x12 . x0 x12not (x11 x6 x6 x4 x12))(∀ x12 . x0 x12not (x11 x6 x7 x4 x12))(∀ x12 . x0 x12not (x11 x7 x6 x7 x12))not (x11 x2 x2 x4 x2)not (x11 x2 x2 x5 x2)not (x11 x2 x2 x6 x2)not (x11 x2 x2 x6 x3)not (x11 x2 x3 x4 x2)not (x11 x2 x3 x6 x2)not (x11 x2 x3 x7 x2)not (x11 x2 x4 x3 x7)not (x11 x2 x4 x7 x6)not (x11 x2 x5 x7 x6)not (x11 x2 x6 x3 x7)not (x11 x2 x6 x4 x3)not (x11 x2 x6 x5 x3)not (x11 x2 x6 x5 x4)not (x11 x2 x6 x7 x4)not (x11 x2 x7 x4 x2)not (x11 x3 x2 x7 x4)not (x11 x3 x2 x7 x6)not (x11 x3 x3 x4 x2)not (x11 x3 x4 x4 x2)not (x11 x3 x5 x4 x2)not (x11 x3 x6 x4 x2)not (x11 x3 x7 x4 x3)not (x11 x3 x7 x5 x3)not (x11 x3 x7 x5 x4)not (x11 x3 x7 x6 x4)not (x11 x3 x7 x6 x5)not (x11 x4 x2 x4 x4)not (x11 x4 x2 x4 x5)not (x11 x4 x2 x4 x7)not (x11 x4 x2 x5 x2)not (x11 x4 x2 x5 x5)not (x11 x4 x2 x5 x6)not (x11 x4 x2 x6 x2)not (x11 x4 x2 x6 x3)not (x11 x4 x2 x7 x2)not (x11 x4 x2 x7 x3)not (x11 x4 x2 x7 x5)not (x11 x4 x5 x5 x2)not (x11 x4 x5 x7 x2)not (x11 x5 x2 x5 x5)not (x11 x5 x2 x6 x2)not (x11 x5 x2 x6 x3)not (x11 x5 x3 x6 x2)not (x11 x5 x5 x7 x2)not (x11 x5 x7 x7 x4)not (x11 x5 x7 x7 x6)not (x11 x6 x2 x6 x3)not (x11 x6 x4 x7 x6)not (x11 x6 x5 x7 x6)∀ x12 . x0 x12∀ x13 . x0 x13∀ x14 . x0 x14∀ x15 . x0 x15∀ x16 . x0 x16x11 x4 x2 x7 x12x11 x4 x2 x13 x14x11 x4 x2 x15 x16x11 x7 x12 x13 x14x11 x7 x12 x15 x16x11 x13 x14 x15 x16False
Known a52aa.. : ∀ x0 x1 : ι → ο . ∀ x2 x3 x4 x5 x6 x7 . (∀ x8 : ι → ο . x8 x2x8 x3x8 x4x8 x5x8 x6x8 x7∀ x9 . x0 x9x8 x9)x0 x2x0 x3x0 x4x0 x5x0 x6x0 x7x1 x2x1 x3x1 x4x1 x5∀ x8 x9 x10 : ι → ι . x8 x2 = x3x8 x3 = x2x8 x4 = x5x8 x5 = x4x9 x2 = x4x9 x3 = x5x9 x4 = x2x9 x5 = x3x10 x2 = x5x10 x3 = x4x10 x4 = x3x10 x5 = x2∀ x11 : ι → ι → ι → ι → ο . (∀ x12 x13 . x0 x12x0 x13not (x11 x12 x13 x12 x13))(∀ x12 x13 x14 x15 . x11 x12 x13 x14 x15x11 x14 x15 x12 x13)(∀ x12 x13 . x0 x12x0 x13not (x11 x12 x13 x7 x7))(∀ x12 x13 x14 x15 . x0 x12x1 x13x0 x14x1 x15not (x11 x12 x13 x14 x15)not (x11 x12 (x8 x13) x14 (x8 x15)))(∀ x12 x13 x14 x15 . x0 x12x1 x13x0 x14x1 x15not (x11 x12 x13 x14 x15)not (x11 x12 (x9 x13) x14 (x9 x15)))(∀ x12 x13 x14 x15 . x0 x12x1 x13x0 x14x1 x15not (x11 x12 x13 x14 x15)not (x11 x12 (x10 x13) x14 (x10 x15)))(∀ x12 . x0 x12not (x11 x4 x7 x5 x12))(∀ x12 . x0 x12not (x11 x4 x7 x7 x12))(∀ x12 . x0 x12not (x11 x5 x6 x6 x12))(∀ x12 . x0 x12not (x11 x6 x6 x4 x12))(∀ x12 . x0 x12not (x11 x6 x7 x4 x12))(∀ x12 . x0 x12not (x11 x5 x5 x12 x7))not (x11 x2 x2 x2 x3)not (x11 x2 x2 x3 x4)not (x11 x2 x2 x3 x5)not (x11 x2 x2 x4 x2)not (x11 x2 x2 x4 x3)not (x11 x2 x2 x5 x2)not (x11 x2 x2 x6 x2)not (x11 x2 x2 x6 x3)not (x11 x2 x2 x7 x3)not (x11 x2 x3 x6 x2)not (x11 x2 x4 x4 x7)not (x11 x2 x4 x5 x6)not (x11 x2 x4 x7 x6)not (x11 x2 x5 x2 x7)not (x11 x2 x5 x3 x6)not (x11 x2 x5 x5 x2)not (x11 x2 x5 x7 x6)not (x11 x2 x6 x4 x3)not (x11 x2 x7 x3 x3)not (x11 x2 x7 x3 x6)not (x11 x2 x7 x4 x2)not (x11 x2 x7 x5 x2)not (x11 x2 x7 x6 x4)not (x11 x2 x7 x7 x5)not (x11 x3 x2 x4 x3)not (x11 x3 x4 x4 x2)not (x11 x3 x5 x4 x2)not (x11 x3 x6 x4 x2)not (x11 x3 x6 x5 x2)not (x11 x3 x6 x5 x5)not (x11 x3 x7 x4 x3)not (x11 x4 x2 x4 x4)not (x11 x4 x2 x4 x5)not (x11 x4 x2 x4 x7)not (x11 x4 x2 x5 x2)not (x11 x4 x2 x5 x5)not (x11 x4 x2 x5 x6)not (x11 x4 x2 x6 x2)not (x11 x4 x2 x7 x2)not (x11 x4 x2 x7 x5)not (x11 x4 x3 x4 x6)not (x11 x4 x3 x5 x7)not (x11 x4 x3 x6 x2)not (x11 x4 x3 x7 x2)not (x11 x4 x7 x6 x5)not (x11 x5 x2 x5 x5)not (x11 x5 x6 x7 x5)not (x11 x5 x6 x7 x6)not (x11 x6 x5 x7 x6)∀ x12 . x0 x12∀ x13 . x0 x13∀ x14 . x0 x14∀ x15 . x0 x15∀ x16 . x0 x16x11 x4 x3 x2 x12x11 x4 x3 x13 x14x11 x4 x3 x15 x16x11 x2 x12 x13 x14x11 x2 x12 x15 x16x11 x13 x14 x15 x16False
Known 6bfe4.. : ∀ x0 x1 : ι → ο . ∀ x2 x3 x4 x5 x6 x7 . (∀ x8 : ι → ο . x8 x2x8 x3x8 x4x8 x5x8 x6x8 x7∀ x9 . x0 x9x8 x9)x0 x2x0 x3x0 x4x0 x5x0 x6x0 x7x1 x2x1 x3x1 x4x1 x5∀ x8 x9 x10 : ι → ι . x8 x2 = x3x8 x3 = x2x8 x4 = x5x8 x5 = x4x9 x2 = x4x9 x3 = x5x9 x4 = x2x9 x5 = x3x10 x2 = x5x10 x3 = x4x10 x4 = x3x10 x5 = x2∀ x11 : ι → ι → ι → ι → ο . (∀ x12 x13 . x0 x12x0 x13not (x11 x12 x13 x12 x13))(∀ x12 x13 x14 x15 . x11 x12 x13 x14 x15x11 x14 x15 x12 x13)(∀ x12 x13 . x0 x12x0 x13not (x11 x12 x13 x7 x7))(∀ x12 x13 x14 x15 . x0 x12x1 x13x0 x14x1 x15not (x11 x12 x13 x14 x15)not (x11 x12 (x8 x13) x14 (x8 x15)))(∀ x12 x13 x14 x15 . x0 x12x1 x13x0 x14x1 x15not (x11 x12 x13 x14 x15)not (x11 x12 (x9 x13) x14 (x9 x15)))(∀ x12 x13 x14 x15 . x0 x12x1 x13x0 x14x1 x15not (x11 x12 x13 x14 x15)not (x11 x12 (x10 x13) x14 (x10 x15)))(∀ x12 . x0 x12not (x11 x4 x7 x5 x12))(∀ x12 . x0 x12not (x11 x6 x6 x4 x12))(∀ x12 . x0 x12not (x11 x6 x7 x4 x12))(∀ x12 . x0 x12not (x11 x7 x6 x7 x12))(∀ x12 . x0 x12not (x11 x5 x5 x12 x7))not (x11 x2 x2 x3 x5)not (x11 x2 x2 x4 x2)not (x11 x2 x2 x4 x3)not (x11 x2 x2 x7 x3)not (x11 x2 x3 x7 x2)not (x11 x2 x4 x3 x2)not (x11 x2 x4 x5 x6)not (x11 x2 x4 x7 x6)not (x11 x2 x5 x3 x2)not (x11 x2 x5 x3 x6)not (x11 x2 x6 x4 x3)not (x11 x2 x7 x3 x3)not (x11 x2 x7 x3 x6)not (x11 x3 x2 x4 x3)not (x11 x3 x2 x6 x5)not (x11 x3 x2 x7 x4)not (x11 x3 x3 x4 x2)not (x11 x3 x3 x5 x6)not (x11 x3 x3 x7 x6)not (x11 x3 x4 x4 x2)not (x11 x3 x4 x7 x2)not (x11 x3 x5 x4 x2)not (x11 x3 x6 x4 x2)not (x11 x3 x6 x4 x7)not (x11 x3 x6 x5 x2)not (x11 x3 x6 x5 x5)not (x11 x3 x6 x6 x4)not (x11 x3 x6 x6 x5)not (x11 x3 x7 x4 x3)not (x11 x4 x2 x4 x4)not (x11 x4 x2 x4 x5)not (x11 x4 x2 x5 x2)not (x11 x4 x2 x5 x5)not (x11 x4 x2 x6 x2)not (x11 x4 x2 x7 x2)not (x11 x4 x2 x7 x5)not (x11 x4 x3 x4 x6)not (x11 x4 x3 x5 x7)not (x11 x4 x3 x6 x2)not (x11 x4 x3 x7 x2)not (x11 x4 x7 x6 x5)not (x11 x5 x2 x5 x5)not (x11 x5 x2 x6 x2)not (x11 x5 x2 x6 x5)not (x11 x5 x6 x7 x5)not (x11 x5 x6 x7 x6)∀ x12 . x0 x12∀ x13 . x0 x13∀ x14 . x0 x14∀ x15 . x0 x15∀ x16 . x0 x16x11 x4 x3 x3 x12x11 x4 x3 x13 x14x11 x4 x3 x15 x16x11 x3 x12 x13 x14x11 x3 x12 x15 x16x11 x13 x14 x15 x16False
Known db860.. : ∀ x0 x1 : ι → ο . ∀ x2 x3 x4 x5 x6 x7 . (∀ x8 : ι → ο . x8 x2x8 x3x8 x4x8 x5x8 x6x8 x7∀ x9 . x0 x9x8 x9)x0 x2x0 x3x0 x4x0 x5x0 x6x0 x7x1 x2x1 x3x1 x4x1 x5∀ x8 x9 x10 : ι → ι . x8 x2 = x3x8 x3 = x2x8 x4 = x5x8 x5 = x4x9 x2 = x4x9 x3 = x5x9 x4 = x2x9 x5 = x3x10 x2 = x5x10 x3 = x4x10 x4 = x3x10 x5 = x2∀ x11 : ι → ι → ι → ι → ο . (∀ x12 x13 . x0 x12x0 x13not (x11 x12 x13 x12 x13))(∀ x12 x13 x14 x15 . x11 x12 x13 x14 x15x11 x14 x15 x12 x13)(∀ x12 x13 . x0 x12x0 x13not (x11 x12 x13 x7 x7))(∀ x12 x13 x14 x15 . x0 x12x1 x13x0 x14x1 x15not (x11 x12 x13 x14 x15)not (x11 x12 (x8 x13) x14 (x8 x15)))(∀ x12 x13 x14 x15 . x0 x12x1 x13x0 x14x1 x15not (x11 x12 x13 x14 x15)not (x11 x12 (x9 x13) x14 (x9 x15)))(∀ x12 x13 x14 x15 . x0 x12x1 x13x0 x14x1 x15not (x11 x12 x13 x14 x15)not (x11 x12 (x10 x13) x14 (x10 x15)))(∀ x12 . x0 x12not (x11 x4 x7 x5 x12))(∀ x12 . x0 x12not (x11 x4 x7 x7 x12))(∀ x12 . x0 x12not (x11 x6 x6 x4 x12))(∀ x12 . x0 x12not (x11 x6 x7 x4 x12))not (x11 x2 x2 x2 x3)not (x11 x2 x2 x3 x4)not (x11 x2 x2 x4 x2)not (x11 x2 x2 x4 x3)not (x11 x2 x2 x6 x2)not (x11 x2 x2 x6 x3)not (x11 x2 x3 x6 x2)not (x11 x2 x4 x3 x2)not (x11 x2 x4 x4 x7)not (x11 x2 x4 x7 x6)not (x11 x2 x5 x2 x7)not (x11 x2 x5 x7 x6)not (x11 x2 x6 x4 x3)not (x11 x2 x7 x3 x3)not (x11 x2 x7 x4 x2)not (x11 x2 x7 x6 x4)not (x11 x3 x2 x4 x3)not (x11 x3 x2 x6 x5)not (x11 x3 x3 x4 x2)not (x11 x3 x4 x4 x2)not (x11 x3 x5 x4 x2)not (x11 x3 x5 x6 x2)not (x11 x3 x6 x4 x2)not (x11 x3 x6 x4 x7)not (x11 x3 x7 x4 x3)not (x11 x4 x2 x4 x4)not (x11 x4 x2 x4 x5)not (x11 x4 x2 x4 x7)not (x11 x4 x2 x5 x2)not (x11 x4 x2 x5 x5)not (x11 x4 x2 x5 x6)not (x11 x4 x2 x6 x2)not (x11 x4 x2 x7 x2)not (x11 x4 x2 x7 x5)not (x11 x4 x3 x4 x6)not (x11 x4 x3 x5 x7)not (x11 x4 x3 x6 x2)not (x11 x4 x3 x7 x2)not (x11 x4 x7 x6 x5)not (x11 x6 x2 x6 x3)not (x11 x6 x4 x7 x6)not (x11 x6 x5 x7 x6)∀ x12 . x0 x12∀ x13 . x0 x13∀ x14 . x0 x14∀ x15 . x0 x15∀ x16 . x0 x16x11 x4 x3 x4 x12x11 x4 x3 x13 x14x11 x4 x3 x15 x16x11 x4 x12 x13 x14x11 x4 x12 x15 x16x11 x13 x14 x15 x16False
Known 2b47a.. : ∀ x0 x1 : ι → ο . ∀ x2 x3 x4 x5 x6 x7 . (∀ x8 : ι → ο . x8 x2x8 x3x8 x4x8 x5x8 x6x8 x7∀ x9 . x0 x9x8 x9)x0 x2x0 x3x0 x4x0 x5x0 x6x0 x7x1 x2x1 x3x1 x4x1 x5∀ x8 x9 x10 : ι → ι . x8 x2 = x3x8 x3 = x2x8 x4 = x5x8 x5 = x4x9 x2 = x4x9 x3 = x5x9 x4 = x2x9 x5 = x3x10 x2 = x5x10 x3 = x4x10 x4 = x3x10 x5 = x2∀ x11 : ι → ι → ι → ι → ο . (∀ x12 x13 . x0 x12x0 x13not (x11 x12 x13 x12 x13))(∀ x12 x13 x14 x15 . x11 x12 x13 x14 x15x11 x14 x15 x12 x13)(∀ x12 x13 . x0 x12x0 x13not (x11 x12 x13 x7 x7))(∀ x12 x13 x14 x15 . x0 x12x1 x13x0 x14x1 x15not (x11 x12 x13 x14 x15)not (x11 x12 (x8 x13) x14 (x8 x15)))(∀ x12 x13 x14 x15 . x0 x12x1 x13x0 x14x1 x15not (x11 x12 x13 x14 x15)not (x11 x12 (x9 x13) x14 (x9 x15)))(∀ x12 x13 x14 x15 . x0 x12x1 x13x0 x14x1 x15not (x11 x12 x13 x14 x15)not (x11 x12 (x10 x13) x14 (x10 x15)))(∀ x12 . x0 x12not (x11 x4 x7 x5 x12))(∀ x12 . x0 x12not (x11 x5 x6 x6 x12))(∀ x12 . x0 x12not (x11 x6 x6 x4 x12))(∀ x12 . x0 x12not (x11 x6 x7 x4 x12))(∀ x12 . x0 x12not (x11 x7 x6 x7 x12))(∀ x12 . x0 x12not (x11 x5 x5 x12 x7))not (x11 x2 x2 x3 x5)not (x11 x2 x2 x4 x2)not (x11 x2 x2 x4 x3)not (x11 x2 x2 x5 x2)not (x11 x2 x2 x6 x2)not (x11 x2 x2 x7 x3)not (x11 x2 x3 x7 x2)not (x11 x2 x4 x5 x6)not (x11 x2 x4 x7 x6)not (x11 x2 x5 x2 x7)not (x11 x2 x5 x3 x2)not (x11 x2 x5 x3 x6)not (x11 x2 x5 x5 x2)not (x11 x2 x6 x4 x3)not (x11 x2 x7 x3 x6)not (x11 x2 x7 x5 x2)not (x11 x3 x2 x4 x3)not (x11 x3 x2 x6 x5)not (x11 x3 x2 x7 x4)not (x11 x3 x3 x5 x6)not (x11 x3 x3 x7 x6)not (x11 x3 x4 x4 x2)not (x11 x3 x4 x7 x2)not (x11 x3 x5 x4 x2)not (x11 x3 x5 x6 x2)not (x11 x3 x6 x5 x2)not (x11 x3 x6 x5 x5)not (x11 x3 x7 x4 x3)not (x11 x4 x2 x4 x4)not (x11 x4 x2 x4 x5)not (x11 x4 x2 x5 x2)not (x11 x4 x2 x5 x5)not (x11 x4 x2 x5 x6)not (x11 x4 x2 x6 x2)not (x11 x4 x2 x7 x2)not (x11 x4 x2 x7 x5)not (x11 x4 x3 x4 x6)not (x11 x4 x3 x5 x7)not (x11 x4 x3 x6 x2)not (x11 x4 x3 x7 x2)not (x11 x5 x2 x5 x5)not (x11 x5 x2 x6 x2)not (x11 x5 x2 x6 x3)not (x11 x5 x2 x6 x5)not (x11 x5 x2 x7 x5)not (x11 x5 x6 x7 x5)not (x11 x5 x6 x7 x6)not (x11 x6 x4 x7 x6)∀ x12 . x0 x12∀ x13 . x0 x13∀ x14 . x0 x14∀ x15 . x0 x15∀ x16 . x0 x16x11 x4 x3 x5 x12x11 x4 x3 x13 x14x11 x4 x3 x15 x16x11 x5 x12 x13 x14x11 x5 x12 x15 x16x11 x13 x14 x15 x16False
Known 87d11.. : ∀ x0 x1 : ι → ο . ∀ x2 x3 x4 x5 x6 x7 . (∀ x8 : ι → ο . x8 x2x8 x3x8 x4x8 x5x8 x6x8 x7∀ x9 . x0 x9x8 x9)x0 x2x0 x3x0 x4x0 x5x0 x6x0 x7x1 x2x1 x3x1 x4x1 x5∀ x8 x9 x10 : ι → ι . x8 x2 = x3x8 x3 = x2x8 x4 = x5x8 x5 = x4x9 x2 = x4x9 x3 = x5x9 x4 = x2x9 x5 = x3x10 x2 = x5x10 x3 = x4x10 x4 = x3x10 x5 = x2∀ x11 : ι → ι → ι → ι → ο . (∀ x12 x13 . x0 x12x0 x13not (x11 x12 x13 x12 x13))(∀ x12 x13 x14 x15 . x11 x12 x13 x14 x15x11 x14 x15 x12 x13)(∀ x12 x13 . x0 x12x0 x13not (x11 x12 x13 x7 x7))(∀ x12 x13 x14 x15 . x0 x12x1 x13x0 x14x1 x15not (x11 x12 x13 x14 x15)not (x11 x12 (x8 x13) x14 (x8 x15)))(∀ x12 x13 x14 x15 . x0 x12x1 x13x0 x14x1 x15not (x11 x12 x13 x14 x15)not (x11 x12 (x9 x13) x14 (x9 x15)))(∀ x12 x13 x14 x15 . x0 x12x1 x13x0 x14x1 x15not (x11 x12 x13 x14 x15)not (x11 x12 (x10 x13) x14 (x10 x15)))(∀ x12 . x0 x12not (x11 x4 x7 x5 x12))(∀ x12 . x0 x12not (x11 x4 x7 x7 x12))(∀ x12 . x0 x12not (x11 x5 x6 x6 x12))(∀ x12 . x0 x12not (x11 x6 x6 x4 x12))(∀ x12 . x0 x12not (x11 x6 x7 x4 x12))not (x11 x2 x2 x4 x2)not (x11 x2 x2 x4 x3)not (x11 x2 x2 x6 x2)not (x11 x2 x3 x6 x2)not (x11 x2 x6 x4 x3)not (x11 x2 x7 x3 x3)not (x11 x2 x7 x4 x2)not (x11 x2 x7 x6 x4)not (x11 x2 x7 x7 x5)not (x11 x3 x2 x4 x3)not (x11 x3 x2 x7 x4)not (x11 x3 x3 x4 x2)not (x11 x3 x4 x4 x2)not (x11 x3 x4 x7 x2)not (x11 x3 x5 x4 x2)not (x11 x3 x5 x6 x2)not (x11 x3 x6 x6 x4)not (x11 x3 x6 x6 x5)not (x11 x3 x7 x4 x3)not (x11 x4 x2 x4 x4)not (x11 x4 x2 x4 x5)not (x11 x4 x2 x4 x7)not (x11 x4 x2 x5 x2)not (x11 x4 x2 x5 x5)not (x11 x4 x2 x6 x2)not (x11 x4 x2 x7 x2)not (x11 x4 x2 x7 x5)not (x11 x4 x3 x4 x6)not (x11 x4 x3 x5 x7)not (x11 x4 x3 x6 x2)not (x11 x4 x3 x7 x2)not (x11 x4 x7 x6 x5)not (x11 x5 x2 x6 x2)not (x11 x5 x2 x6 x5)not (x11 x5 x2 x7 x5)not (x11 x5 x3 x6 x2)not (x11 x6 x2 x6 x3)not (x11 x6 x4 x7 x6)not (x11 x6 x5 x7 x6)∀ x12 . x0 x12∀ x13 . x0 x13∀ x14 . x0 x14∀ x15 . x0 x15∀ x16 . x0 x16x11 x4 x3 x6 x12x11 x4 x3 x13 x14x11 x4 x3 x15 x16x11 x6 x12 x13 x14x11 x6 x12 x15 x16x11 x13 x14 x15 x16False
Known 9af5f.. : ∀ x0 x1 : ι → ο . ∀ x2 x3 x4 x5 x6 x7 . (∀ x8 : ι → ο . x8 x2x8 x3x8 x4x8 x5x8 x6x8 x7∀ x9 . x0 x9x8 x9)x0 x2x0 x3x0 x4x0 x5x0 x6x0 x7x1 x2x1 x3x1 x4x1 x5∀ x8 x9 x10 : ι → ι . x8 x2 = x3x8 x3 = x2x8 x4 = x5x8 x5 = x4x9 x2 = x4x9 x3 = x5x9 x4 = x2x9 x5 = x3x10 x2 = x5x10 x3 = x4x10 x4 = x3x10 x5 = x2∀ x11 : ι → ι → ι → ι → ο . (∀ x12 x13 . x0 x12x0 x13not (x11 x12 x13 x12 x13))(∀ x12 x13 x14 x15 . x11 x12 x13 x14 x15x11 x14 x15 x12 x13)(∀ x12 x13 . x0 x12x0 x13not (x11 x12 x13 x7 x7))(∀ x12 x13 x14 x15 . x0 x12x1 x13x0 x14x1 x15not (x11 x12 x13 x14 x15)not (x11 x12 (x8 x13) x14 (x8 x15)))(∀ x12 x13 x14 x15 . x0 x12x1 x13x0 x14x1 x15not (x11 x12 x13 x14 x15)not (x11 x12 (x9 x13) x14 (x9 x15)))(∀ x12 x13 x14 x15 . x0 x12x1 x13x0 x14x1 x15not (x11 x12 x13 x14 x15)not (x11 x12 (x10 x13) x14 (x10 x15)))(∀ x12 . x0 x12not (x11 x4 x7 x7 x12))(∀ x12 . x0 x12not (x11 x6 x6 x4 x12))(∀ x12 . x0 x12not (x11 x6 x7 x4 x12))(∀ x12 . x0 x12not (x11 x7 x6 x7 x12))(∀ x12 . x0 x12not (x11 x5 x5 x12 x7))not (x11 x2 x2 x4 x2)not (x11 x2 x2 x4 x3)not (x11 x2 x2 x5 x2)not (x11 x2 x2 x6 x2)not (x11 x2 x2 x6 x3)not (x11 x2 x3 x6 x2)not (x11 x2 x3 x7 x2)not (x11 x2 x4 x7 x6)not (x11 x2 x5 x3 x6)not (x11 x2 x5 x7 x6)not (x11 x2 x6 x4 x3)not (x11 x2 x7 x3 x6)not (x11 x2 x7 x4 x2)not (x11 x2 x7 x5 x2)not (x11 x2 x7 x7 x5)not (x11 x3 x2 x4 x3)not (x11 x3 x3 x7 x6)not (x11 x3 x4 x4 x2)not (x11 x3 x4 x7 x2)not (x11 x3 x5 x4 x2)not (x11 x3 x6 x4 x2)not (x11 x3 x6 x5 x2)not (x11 x3 x6 x5 x5)not (x11 x3 x6 x6 x4)not (x11 x3 x6 x6 x5)not (x11 x3 x7 x4 x3)not (x11 x4 x2 x4 x4)not (x11 x4 x2 x4 x5)not (x11 x4 x2 x5 x2)not (x11 x4 x2 x5 x5)not (x11 x4 x2 x6 x2)not (x11 x4 x2 x7 x2)not (x11 x4 x2 x7 x5)not (x11 x4 x3 x4 x6)not (x11 x4 x3 x5 x7)not (x11 x4 x3 x6 x2)not (x11 x4 x3 x7 x2)not (x11 x5 x2 x5 x5)not (x11 x5 x2 x6 x2)not (x11 x5 x2 x6 x3)not (x11 x5 x2 x7 x5)not (x11 x5 x3 x6 x2)not (x11 x5 x6 x7 x5)not (x11 x5 x6 x7 x6)not (x11 x6 x2 x6 x3)not (x11 x6 x4 x7 x6)not (x11 x6 x5 x7 x6)∀ x12 . x0 x12∀ x13 . x0 x13∀ x14 . x0 x14∀ x15 . x0 x15∀ x16 . x0 x16x11 x4 x3 x7 x12x11 x4 x3 x13 x14x11 x4 x3 x15 x16x11 x7 x12 x13 x14x11 x7 x12 x15 x16x11 x13 x14 x15 x16False
Known fcacd.. : ∀ x0 x1 : ι → ο . ∀ x2 x3 x4 x5 x6 x7 . (∀ x8 : ι → ο . x8 x2x8 x3x8 x4x8 x5x8 x6x8 x7∀ x9 . x0 x9x8 x9)x0 x2x0 x3x0 x4x0 x5x0 x6x0 x7x1 x2x1 x3x1 x4x1 x5∀ x8 x9 x10 : ι → ι . x8 x2 = x3x8 x3 = x2x8 x4 = x5x8 x5 = x4x9 x2 = x4x9 x3 = x5x9 x4 = x2x9 x5 = x3x10 x2 = x5x10 x3 = x4x10 x4 = x3x10 x5 = x2∀ x11 : ι → ι → ι → ι → ο . (∀ x12 x13 . x0 x12x0 x13not (x11 x12 x13 x12 x13))(∀ x12 x13 x14 x15 . x11 x12 x13 x14 x15x11 x14 x15 x12 x13)(∀ x12 x13 . x0 x12x0 x13not (x11 x12 x13 x7 x7))(∀ x12 x13 x14 x15 . x0 x12x1 x13x0 x14x1 x15not (x11 x12 x13 x14 x15)not (x11 x12 (x8 x13) x14 (x8 x15)))(∀ x12 x13 x14 x15 . x0 x12x1 x13x0 x14x1 x15not (x11 x12 x13 x14 x15)not (x11 x12 (x9 x13) x14 (x9 x15)))(∀ x12 x13 x14 x15 . x0 x12x1 x13x0 x14x1 x15not (x11 x12 x13 x14 x15)not (x11 x12 (x10 x13) x14 (x10 x15)))(∀ x12 . x0 x12not (x11 x4 x6 x5 x12))(∀ x12 . x0 x12not (x11 x4 x6 x7 x12))(∀ x12 . x0 x12not (x11 x5 x6 x6 x12))(∀ x12 . x0 x12not (x11 x6 x6 x4 x12))(∀ x12 . x0 x12not (x11 x6 x7 x4 x12))(∀ x12 . x0 x12not (x11 x2 x2 x12 x7))(∀ x12 . x0 x12not (x11 x2 x3 x12 x6))(∀ x12 . x0 x12not (x11 x5 x5 x12 x7))(∀ x12 . x0 x12not (x11 x6 x2 x12 x6))(∀ x12 . x0 x12not (x11 x6 x3 x12 x7))not (x11 x2 x2 x2 x3)not (x11 x2 x2 x3 x4)not (x11 x2 x2 x3 x5)not (x11 x2 x2 x4 x2)not (x11 x2 x2 x5 x2)not (x11 x2 x2 x5 x5)not (x11 x2 x2 x6 x2)not (x11 x2 x2 x6 x3)not (x11 x2 x2 x7 x6)not (x11 x2 x3 x4 x2)not (x11 x2 x3 x6 x2)not (x11 x2 x3 x7 x2)not (x11 x2 x6 x4 x4)not (x11 x2 x7 x3 x4)not (x11 x2 x7 x3 x7)not (x11 x2 x7 x4 x5)not (x11 x2 x7 x5 x2)not (x11 x2 x7 x7 x2)not (x11 x3 x2 x4 x4)not (x11 x3 x3 x4 x2)not (x11 x3 x5 x4 x2)not (x11 x3 x6 x4 x4)not (x11 x3 x7 x4 x5)not (x11 x3 x7 x5 x2)not (x11 x4 x2 x4 x4)not (x11 x4 x2 x4 x5)not (x11 x4 x2 x5 x2)not (x11 x4 x2 x5 x5)not (x11 x4 x2 x6 x2)not (x11 x4 x2 x6 x3)not (x11 x4 x2 x7 x2)not (x11 x4 x2 x7 x3)not (x11 x4 x2 x7 x5)not (x11 x4 x4 x4 x7)not (x11 x4 x4 x5 x7)not (x11 x4 x5 x4 x6)not (x11 x4 x5 x5 x2)not (x11 x4 x5 x5 x6)not (x11 x4 x5 x7 x2)not (x11 x5 x2 x5 x5)not (x11 x5 x6 x7 x2)not (x11 x5 x6 x7 x6)∀ x12 . x0 x12∀ x13 . x0 x13∀ x14 . x0 x14∀ x15 . x0 x15∀ x16 . x0 x16x11 x4 x4 x2 x12x11 x4 x4 x13 x14x11 x4 x4 x15 x16x11 x2 x12 x13 x14x11 x2 x12 x15 x16x11 x13 x14 x15 x16False
Known 02249.. : ∀ x0 x1 : ι → ο . ∀ x2 x3 x4 x5 x6 x7 . (∀ x8 : ι → ο . x8 x2x8 x3x8 x4x8 x5x8 x6x8 x7∀ x9 . x0 x9x8 x9)x0 x2x0 x3x0 x4x0 x5x0 x6x0 x7x1 x2x1 x3x1 x4x1 x5∀ x8 x9 x10 : ι → ι . x8 x2 = x3x8 x3 = x2x8 x4 = x5x8 x5 = x4x9 x2 = x4x9 x3 = x5x9 x4 = x2x9 x5 = x3x10 x2 = x5x10 x3 = x4x10 x4 = x3x10 x5 = x2∀ x11 : ι → ι → ι → ι → ο . (∀ x12 x13 . x0 x12x0 x13not (x11 x12 x13 x12 x13))(∀ x12 x13 x14 x15 . x11 x12 x13 x14 x15x11 x14 x15 x12 x13)(∀ x12 x13 . x0 x12x0 x13not (x11 x12 x13 x7 x7))(∀ x12 x13 x14 x15 . x0 x12x1 x13x0 x14x1 x15not (x11 x12 x13 x14 x15)not (x11 x12 (x8 x13) x14 (x8 x15)))(∀ x12 x13 x14 x15 . x0 x12x1 x13x0 x14x1 x15not (x11 x12 x13 x14 x15)not (x11 x12 (x9 x13) x14 (x9 x15)))(∀ x12 x13 x14 x15 . x0 x12x1 x13x0 x14x1 x15not (x11 x12 x13 x14 x15)not (x11 x12 (x10 x13) x14 (x10 x15)))(∀ x12 . x0 x12not (x11 x4 x6 x5 x12))(∀ x12 . x0 x12not (x11 x6 x6 x4 x12))(∀ x12 . x0 x12not (x11 x6 x7 x4 x12))(∀ x12 . x0 x12not (x11 x7 x6 x7 x12))(∀ x12 . x0 x12not (x11 x2 x2 x12 x7))(∀ x12 . x0 x12not (x11 x2 x3 x12 x6))(∀ x12 . x0 x12not (x11 x5 x5 x12 x7))(∀ x12 . x0 x12not (x11 x6 x2 x12 x6))(∀ x12 . x0 x12not (x11 x6 x3 x12 x7))not (x11 x2 x2 x3 x4)not (x11 x2 x2 x3 x5)not (x11 x2 x2 x4 x2)not (x11 x2 x3 x4 x2)not (x11 x2 x3 x7 x2)not (x11 x2 x5 x3 x2)not (x11 x2 x6 x4 x4)not (x11 x2 x7 x3 x4)not (x11 x2 x7 x3 x7)not (x11 x3 x2 x4 x3)not (x11 x3 x2 x4 x4)not (x11 x3 x2 x6 x5)not (x11 x3 x3 x4 x2)not (x11 x3 x4 x5 x6)not (x11 x3 x4 x7 x2)not (x11 x3 x4 x7 x6)not (x11 x3 x5 x4 x2)not (x11 x3 x6 x4 x4)not (x11 x3 x7 x4 x5)not (x11 x3 x7 x4 x6)not (x11 x3 x7 x5 x2)not (x11 x3 x7 x6 x2)not (x11 x4 x2 x4 x4)not (x11 x4 x2 x4 x5)not (x11 x4 x2 x5 x2)not (x11 x4 x2 x5 x5)not (x11 x4 x2 x6 x2)not (x11 x4 x2 x6 x3)not (x11 x4 x2 x7 x2)not (x11 x4 x2 x7 x3)not (x11 x4 x2 x7 x5)not (x11 x4 x4 x4 x7)not (x11 x4 x4 x5 x7)not (x11 x5 x2 x5 x5)not (x11 x5 x2 x6 x2)not (x11 x5 x5 x6 x2)not (x11 x5 x6 x7 x2)not (x11 x5 x6 x7 x6)∀ x12 . x0 x12∀ x13 . x0 x13∀ x14 . x0 x14∀ x15 . x0 x15∀ x16 . x0 x16x11 x4 x4 x3 x12x11 x4 x4 x13 x14x11 x4 x4 x15 x16x11 x3 x12 x13 x14x11 x3 x12 x15 x16x11 x13 x14 x15 x16False
Known eed5e.. : ∀ x0 x1 : ι → ο . ∀ x2 x3 x4 x5 x6 x7 . (∀ x8 : ι → ο . x8 x2x8 x3x8 x4x8 x5x8 x6x8 x7∀ x9 . x0 x9x8 x9)x0 x2x0 x3x0 x4x0 x5x0 x6x0 x7x1 x2x1 x3x1 x4x1 x5∀ x8 x9 x10 : ι → ι . x8 x2 = x3x8 x3 = x2x8 x4 = x5x8 x5 = x4x9 x2 = x4x9 x3 = x5x9 x4 = x2x9 x5 = x3x10 x2 = x5x10 x3 = x4x10 x4 = x3x10 x5 = x2∀ x11 : ι → ι → ι → ι → ο . (∀ x12 x13 . x0 x12x0 x13not (x11 x12 x13 x12 x13))(∀ x12 x13 x14 x15 . x11 x12 x13 x14 x15x11 x14 x15 x12 x13)(∀ x12 x13 . x0 x12x0 x13not (x11 x12 x13 x7 x7))(∀ x12 x13 x14 x15 . x0 x12x1 x13x0 x14x1 x15not (x11 x12 x13 x14 x15)not (x11 x12 (x8 x13) x14 (x8 x15)))(∀ x12 x13 x14 x15 . x0 x12x1 x13x0 x14x1 x15not (x11 x12 x13 x14 x15)not (x11 x12 (x9 x13) x14 (x9 x15)))(∀ x12 x13 x14 x15 . x0 x12x1 x13x0 x14x1 x15not (x11 x12 x13 x14 x15)not (x11 x12 (x10 x13) x14 (x10 x15)))(∀ x12 . x0 x12not (x11 x4 x6 x5 x12))(∀ x12 . x0 x12not (x11 x4 x6 x7 x12))(∀ x12 . x0 x12not (x11 x6 x6 x4 x12))(∀ x12 . x0 x12not (x11 x6 x7 x4 x12))(∀ x12 . x0 x12not (x11 x2 x2 x12 x7))(∀ x12 . x0 x12not (x11 x2 x3 x12 x6))(∀ x12 . x0 x12not (x11 x6 x2 x12 x6))(∀ x12 . x0 x12not (x11 x6 x3 x12 x7))not (x11 x2 x2 x2 x3)not (x11 x2 x2 x3 x4)not (x11 x2 x2 x4 x2)not (x11 x2 x2 x6 x2)not (x11 x2 x2 x6 x3)not (x11 x2 x2 x7 x6)not (x11 x2 x3 x4 x2)not (x11 x2 x3 x6 x2)not (x11 x2 x6 x4 x4)not (x11 x2 x7 x3 x4)not (x11 x2 x7 x4 x5)not (x11 x3 x2 x4 x4)not (x11 x3 x2 x6 x5)not (x11 x3 x3 x4 x2)not (x11 x3 x5 x4 x2)not (x11 x3 x5 x6 x2)not (x11 x3 x6 x4 x4)not (x11 x3 x7 x4 x5)not (x11 x3 x7 x4 x6)not (x11 x4 x2 x4 x4)not (x11 x4 x2 x4 x5)not (x11 x4 x2 x5 x2)not (x11 x4 x2 x5 x5)not (x11 x4 x2 x6 x2)not (x11 x4 x2 x6 x3)not (x11 x4 x2 x7 x2)not (x11 x4 x2 x7 x3)not (x11 x4 x2 x7 x5)not (x11 x4 x4 x4 x7)not (x11 x4 x4 x5 x7)not (x11 x4 x5 x4 x6)not (x11 x4 x5 x5 x2)not (x11 x4 x5 x5 x6)not (x11 x4 x5 x7 x2)not (x11 x6 x2 x6 x3)not (x11 x6 x3 x7 x6)∀ x12 . x0 x12∀ x13 . x0 x13∀ x14 . x0 x14∀ x15 . x0 x15∀ x16 . x0 x16x11 x4 x4 x4 x12x11 x4 x4 x13 x14x11 x4 x4 x15 x16x11 x4 x12 x13 x14x11 x4 x12 x15 x16x11 x13 x14 x15 x16False
Known ac550.. : ∀ x0 x1 : ι → ο . ∀ x2 x3 x4 x5 x6 x7 . (∀ x8 : ι → ο . x8 x2x8 x3x8 x4x8 x5x8 x6x8 x7∀ x9 . x0 x9x8 x9)x0 x2x0 x3x0 x4x0 x5x0 x6x0 x7x1 x2x1 x3x1 x4x1 x5∀ x8 x9 x10 : ι → ι . x8 x2 = x3x8 x3 = x2x8 x4 = x5x8 x5 = x4x9 x2 = x4x9 x3 = x5x9 x4 = x2x9 x5 = x3x10 x2 = x5x10 x3 = x4x10 x4 = x3x10 x5 = x2∀ x11 : ι → ι → ι → ι → ο . (∀ x12 x13 . x0 x12x0 x13not (x11 x12 x13 x12 x13))(∀ x12 x13 x14 x15 . x11 x12 x13 x14 x15x11 x14 x15 x12 x13)(∀ x12 x13 . x0 x12x0 x13not (x11 x12 x13 x7 x7))(∀ x12 x13 x14 x15 . x0 x12x1 x13x0 x14x1 x15not (x11 x12 x13 x14 x15)not (x11 x12 (x8 x13) x14 (x8 x15)))(∀ x12 x13 x14 x15 . x0 x12x1 x13x0 x14x1 x15not (x11 x12 x13 x14 x15)not (x11 x12 (x9 x13) x14 (x9 x15)))(∀ x12 x13 x14 x15 . x0 x12x1 x13x0 x14x1 x15not (x11 x12 x13 x14 x15)not (x11 x12 (x10 x13) x14 (x10 x15)))(∀ x12 . x0 x12not (x11 x4 x6 x5 x12))(∀ x12 . x0 x12not (x11 x5 x6 x6 x12))(∀ x12 . x0 x12not (x11 x6 x6 x4 x12))(∀ x12 . x0 x12not (x11 x6 x7 x4 x12))(∀ x12 . x0 x12not (x11 x7 x6 x7 x12))(∀ x12 . x0 x12not (x11 x2 x2 x12 x7))(∀ x12 . x0 x12not (x11 x2 x3 x12 x6))(∀ x12 . x0 x12not (x11 x5 x5 x12 x7))not (x11 x2 x2 x3 x5)not (x11 x2 x2 x4 x2)not (x11 x2 x2 x5 x2)not (x11 x2 x2 x5 x5)not (x11 x2 x2 x6 x2)not (x11 x2 x3 x4 x2)not (x11 x2 x3 x7 x2)not (x11 x2 x5 x3 x2)not (x11 x2 x6 x4 x4)not (x11 x2 x7 x3 x7)not (x11 x2 x7 x5 x2)not (x11 x3 x2 x4 x4)not (x11 x3 x2 x6 x5)not (x11 x3 x3 x4 x2)not (x11 x3 x4 x5 x6)not (x11 x3 x4 x7 x2)not (x11 x3 x4 x7 x6)not (x11 x3 x5 x4 x2)not (x11 x3 x5 x6 x2)not (x11 x3 x6 x4 x4)not (x11 x3 x7 x5 x2)not (x11 x4 x2 x4 x4)not (x11 x4 x2 x4 x5)not (x11 x4 x2 x5 x2)not (x11 x4 x2 x5 x5)not (x11 x4 x2 x6 x2)not (x11 x4 x2 x6 x3)not (x11 x4 x2 x7 x2)not (x11 x4 x2 x7 x3)not (x11 x4 x2 x7 x5)not (x11 x4 x4 x4 x7)not (x11 x4 x4 x5 x7)not (x11 x4 x5 x5 x2)not (x11 x4 x5 x5 x6)not (x11 x5 x2 x5 x5)not (x11 x5 x2 x6 x2)not (x11 x5 x2 x6 x3)not (x11 x5 x5 x6 x2)not (x11 x5 x5 x7 x2)not (x11 x5 x6 x7 x2)not (x11 x5 x6 x7 x6)not (x11 x6 x3 x7 x6)∀ x12 . x0 x12∀ x13 . x0 x13∀ x14 . x0 x14∀ x15 . x0 x15∀ x16 . x0 x16x11 x4 x4 x5 x12x11 x4 x4 x13 x14x11 x4 x4 x15 x16x11 x5 x12 x13 x14x11 x5 x12 x15 x16x11 x13 x14 x15 x16False
Known f9bf2.. : ∀ x0 x1 : ι → ο . ∀ x2 x3 x4 x5 x6 x7 . (∀ x8 : ι → ο . x8 x2x8 x3x8 x4x8 x5x8 x6x8 x7∀ x9 . x0 x9x8 x9)x0 x2x0 x3x0 x4x0 x5x0 x6x0 x7x1 x2x1 x3x1 x4x1 x5∀ x8 x9 x10 : ι → ι . x8 x2 = x3x8 x3 = x2x8 x4 = x5x8 x5 = x4x9 x2 = x4x9 x3 = x5x9 x4 = x2x9 x5 = x3x10 x2 = x5x10 x3 = x4x10 x4 = x3x10 x5 = x2∀ x11 : ι → ι → ι → ι → ο . (∀ x12 x13 . x0 x12x0 x13not (x11 x12 x13 x12 x13))(∀ x12 x13 x14 x15 . x11 x12 x13 x14 x15x11 x14 x15 x12 x13)(∀ x12 x13 . x0 x12x0 x13not (x11 x12 x13 x7 x7))(∀ x12 x13 x14 x15 . x0 x12x1 x13x0 x14x1 x15not (x11 x12 x13 x14 x15)not (x11 x12 (x8 x13) x14 (x8 x15)))(∀ x12 x13 x14 x15 . x0 x12x1 x13x0 x14x1 x15not (x11 x12 x13 x14 x15)not (x11 x12 (x9 x13) x14 (x9 x15)))(∀ x12 x13 x14 x15 . x0 x12x1 x13x0 x14x1 x15not (x11 x12 x13 x14 x15)not (x11 x12 (x10 x13) x14 (x10 x15)))(∀ x12 . x0 x12not (x11 x4 x6 x5 x12))(∀ x12 . x0 x12not (x11 x4 x6 x7 x12))(∀ x12 . x0 x12not (x11 x5 x6 x6 x12))(∀ x12 . x0 x12not (x11 x6 x6 x4 x12))(∀ x12 . x0 x12not (x11 x6 x7 x4 x12))(∀ x12 . x0 x12not (x11 x6 x2 x12 x6))(∀ x12 . x0 x12not (x11 x6 x3 x12 x7))not (x11 x2 x2 x4 x2)not (x11 x2 x2 x6 x2)not (x11 x2 x2 x6 x3)not (x11 x2 x3 x4 x2)not (x11 x2 x3 x6 x2)not (x11 x2 x6 x4 x4)not (x11 x2 x7 x3 x4)not (x11 x2 x7 x4 x5)not (x11 x2 x7 x7 x2)not (x11 x3 x2 x4 x3)not (x11 x3 x2 x4 x4)not (x11 x3 x3 x4 x2)not (x11 x3 x4 x7 x2)not (x11 x3 x5 x4 x2)not (x11 x3 x5 x6 x2)not (x11 x3 x6 x4 x4)not (x11 x3 x7 x6 x2)not (x11 x4 x2 x4 x4)not (x11 x4 x2 x4 x5)not (x11 x4 x2 x5 x2)not (x11 x4 x2 x5 x5)not (x11 x4 x2 x6 x2)not (x11 x4 x2 x6 x3)not (x11 x4 x2 x7 x2)not (x11 x4 x2 x7 x3)not (x11 x4 x2 x7 x5)not (x11 x4 x4 x4 x7)not (x11 x4 x4 x5 x7)not (x11 x4 x5 x4 x6)not (x11 x4 x5 x7 x2)not (x11 x5 x2 x6 x2)not (x11 x5 x2 x6 x3)not (x11 x5 x5 x6 x2)not (x11 x5 x5 x7 x2)not (x11 x6 x2 x6 x3)not (x11 x6 x3 x7 x6)∀ x12 . x0 x12∀ x13 . x0 x13∀ x14 . x0 x14∀ x15 . x0 x15∀ x16 . x0 x16x11 x4 x4 x6 x12x11 x4 x4 x13 x14x11 x4 x4 x15 x16x11 x6 x12 x13 x14x11 x6 x12 x15 x16x11 x13 x14 x15 x16False
Known b92e4.. : ∀ x0 x1 : ι → ο . ∀ x2 x3 x4 x5 x6 x7 . (∀ x8 : ι → ο . x8 x2x8 x3x8 x4x8 x5x8 x6x8 x7∀ x9 . x0 x9x8 x9)x0 x2x0 x3x0 x4x0 x5x0 x6x0 x7x1 x2x1 x3x1 x4x1 x5∀ x8 x9 x10 : ι → ι . x8 x2 = x3x8 x3 = x2x8 x4 = x5x8 x5 = x4x9 x2 = x4x9 x3 = x5x9 x4 = x2x9 x5 = x3x10 x2 = x5x10 x3 = x4x10 x4 = x3x10 x5 = x2∀ x11 : ι → ι → ι → ι → ο . (∀ x12 x13 . x0 x12x0 x13not (x11 x12 x13 x12 x13))(∀ x12 x13 x14 x15 . x11 x12 x13 x14 x15x11 x14 x15 x12 x13)(∀ x12 x13 . x0 x12x0 x13not (x11 x12 x13 x7 x7))(∀ x12 x13 x14 x15 . x0 x12x1 x13x0 x14x1 x15not (x11 x12 x13 x14 x15)not (x11 x12 (x8 x13) x14 (x8 x15)))(∀ x12 x13 x14 x15 . x0 x12x1 x13x0 x14x1 x15not (x11 x12 x13 x14 x15)not (x11 x12 (x9 x13) x14 (x9 x15)))(∀ x12 x13 x14 x15 . x0 x12x1 x13x0 x14x1 x15not (x11 x12 x13 x14 x15)not (x11 x12 (x10 x13) x14 (x10 x15)))(∀ x12 . x0 x12not (x11 x4 x6 x7 x12))(∀ x12 . x0 x12not (x11 x6 x6 x4 x12))(∀ x12 . x0 x12not (x11 x6 x7 x4 x12))(∀ x12 . x0 x12not (x11 x7 x6 x7 x12))(∀ x12 . x0 x12not (x11 x2 x2 x12 x7))(∀ x12 . x0 x12not (x11 x2 x3 x12 x6))(∀ x12 . x0 x12not (x11 x5 x5 x12 x7))(∀ x12 . x0 x12not (x11 x6 x2 x12 x6))(∀ x12 . x0 x12not (x11 x6 x3 x12 x7))not (x11 x2 x2 x4 x2)not (x11 x2 x2 x5 x2)not (x11 x2 x2 x6 x2)not (x11 x2 x2 x6 x3)not (x11 x2 x2 x7 x6)not (x11 x2 x3 x4 x2)not (x11 x2 x3 x7 x2)not (x11 x2 x6 x4 x4)not (x11 x2 x7 x3 x7)not (x11 x2 x7 x4 x5)not (x11 x2 x7 x5 x2)not (x11 x2 x7 x7 x2)not (x11 x3 x2 x4 x4)not (x11 x3 x3 x4 x2)not (x11 x3 x4 x7 x2)not (x11 x3 x4 x7 x6)not (x11 x3 x5 x4 x2)not (x11 x3 x6 x4 x4)not (x11 x3 x7 x4 x5)not (x11 x3 x7 x5 x2)not (x11 x3 x7 x6 x2)not (x11 x4 x2 x4 x4)not (x11 x4 x2 x4 x5)not (x11 x4 x2 x5 x2)not (x11 x4 x2 x5 x5)not (x11 x4 x2 x6 x2)not (x11 x4 x2 x6 x3)not (x11 x4 x2 x7 x2)not (x11 x4 x2 x7 x3)not (x11 x4 x2 x7 x5)not (x11 x4 x4 x4 x7)not (x11 x4 x4 x5 x7)not (x11 x4 x5 x5 x2)not (x11 x4 x5 x7 x2)not (x11 x5 x2 x5 x5)not (x11 x5 x2 x6 x2)not (x11 x5 x2 x6 x3)not (x11 x5 x5 x7 x2)not (x11 x5 x6 x7 x2)not (x11 x5 x6 x7 x6)not (x11 x6 x2 x6 x3)not (x11 x6 x3 x7 x6)∀ x12 . x0 x12∀ x13 . x0 x13∀ x14 . x0 x14∀ x15 . x0 x15∀ x16 . x0 x16x11 x4 x4 x7 x12x11 x4 x4 x13 x14x11 x4 x4 x15 x16x11 x7 x12 x13 x14x11 x7 x12 x15 x16x11 x13 x14 x15 x16False
Known 454c0.. : ∀ x0 x1 : ι → ο . ∀ x2 x3 x4 x5 x6 x7 . (∀ x8 : ι → ο . x8 x2x8 x3x8 x4x8 x5x8 x6x8 x7∀ x9 . x0 x9x8 x9)x0 x2x0 x3x0 x4x0 x5x0 x6x0 x7x1 x2x1 x3x1 x4x1 x5∀ x8 x9 x10 : ι → ι . x8 x2 = x3x8 x3 = x2x8 x4 = x5x8 x5 = x4x9 x2 = x4x9 x3 = x5x9 x4 = x2x9 x5 = x3x10 x2 = x5x10 x3 = x4x10 x4 = x3x10 x5 = x2∀ x11 : ι → ι → ι → ι → ο . (∀ x12 x13 . x0 x12x0 x13not (x11 x12 x13 x12 x13))(∀ x12 x13 x14 x15 . x11 x12 x13 x14 x15x11 x14 x15 x12 x13)(∀ x12 x13 . x0 x12x0 x13not (x11 x12 x13 x7 x7))(∀ x12 x13 x14 x15 . x0 x12x1 x13x0 x14x1 x15not (x11 x12 x13 x14 x15)not (x11 x12 (x8 x13) x14 (x8 x15)))(∀ x12 x13 x14 x15 . x0 x12x1 x13x0 x14x1 x15not (x11 x12 x13 x14 x15)not (x11 x12 (x9 x13) x14 (x9 x15)))(∀ x12 x13 x14 x15 . x0 x12x1 x13x0 x14x1 x15not (x11 x12 x13 x14 x15)not (x11 x12 (x10 x13) x14 (x10 x15)))(∀ x12 . x0 x12not (x11 x4 x7 x5 x12))(∀ x12 . x0 x12not (x11 x4 x7 x7 x12))(∀ x12 . x0 x12not (x11 x5 x7 x6 x12))(∀ x12 . x0 x12not (x11 x6 x6 x4 x12))(∀ x12 . x0 x12not (x11 x6 x7 x4 x12))(∀ x12 . x0 x12not (x11 x2 x2 x12 x7))(∀ x12 . x0 x12not (x11 x2 x3 x12 x6))(∀ x12 . x0 x12not (x11 x6 x2 x12 x6))(∀ x12 . x0 x12not (x11 x6 x3 x12 x7))not (x11 x2 x2 x2 x3)not (x11 x2 x2 x3 x4)not (x11 x2 x2 x3 x5)not (x11 x2 x2 x4 x2)not (x11 x2 x2 x5 x2)not (x11 x2 x2 x5 x5)not (x11 x2 x2 x6 x2)not (x11 x2 x2 x6 x3)not (x11 x2 x2 x7 x3)not (x11 x2 x2 x7 x6)not (x11 x2 x3 x4 x2)not (x11 x2 x3 x6 x2)not (x11 x2 x6 x3 x5)not (x11 x2 x6 x3 x6)not (x11 x2 x6 x4 x4)not (x11 x2 x6 x5 x3)not (x11 x2 x6 x5 x4)not (x11 x2 x6 x7 x3)not (x11 x2 x7 x4 x5)not (x11 x3 x2 x4 x5)not (x11 x3 x3 x4 x2)not (x11 x3 x4 x4 x2)not (x11 x3 x6 x4 x4)not (x11 x3 x6 x5 x3)not (x11 x3 x6 x5 x4)not (x11 x3 x7 x4 x5)not (x11 x4 x2 x4 x4)not (x11 x4 x2 x4 x5)not (x11 x4 x2 x5 x2)not (x11 x4 x2 x5 x5)not (x11 x4 x2 x6 x2)not (x11 x4 x2 x6 x3)not (x11 x4 x2 x7 x2)not (x11 x4 x2 x7 x3)not (x11 x4 x2 x7 x5)not (x11 x4 x4 x4 x7)not (x11 x4 x4 x5 x7)not (x11 x4 x5 x4 x6)not (x11 x4 x5 x5 x2)not (x11 x4 x5 x5 x6)not (x11 x4 x5 x7 x2)not (x11 x5 x2 x5 x5)not (x11 x5 x7 x7 x3)not (x11 x5 x7 x7 x6)not (x11 x6 x3 x7 x6)∀ x12 . x0 x12∀ x13 . x0 x13∀ x14 . x0 x14∀ x15 . x0 x15∀ x16 . x0 x16x11 x4 x5 x2 x12x11 x4 x5 x13 x14x11 x4 x5 x15 x16x11 x2 x12 x13 x14x11 x2 x12 x15 x16x11 x13 x14 x15 x16False
Known 79697.. : ∀ x0 x1 : ι → ο . ∀ x2 x3 x4 x5 x6 x7 . (∀ x8 : ι → ο . x8 x2x8 x3x8 x4x8 x5x8 x6x8 x7∀ x9 . x0 x9x8 x9)x0 x2x0 x3x0 x4x0 x5x0 x6x0 x7x1 x2x1 x3x1 x4x1 x5∀ x8 x9 x10 : ι → ι . x8 x2 = x3x8 x3 = x2x8 x4 = x5x8 x5 = x4x9 x2 = x4x9 x3 = x5x9 x4 = x2x9 x5 = x3x10 x2 = x5x10 x3 = x4x10 x4 = x3x10 x5 = x2∀ x11 : ι → ι → ι → ι → ο . (∀ x12 x13 . x0 x12x0 x13not (x11 x12 x13 x12 x13))(∀ x12 x13 x14 x15 . x11 x12 x13 x14 x15x11 x14 x15 x12 x13)(∀ x12 x13 . x0 x12x0 x13not (x11 x12 x13 x7 x7))(∀ x12 x13 x14 x15 . x0 x12x1 x13x0 x14x1 x15not (x11 x12 x13 x14 x15)not (x11 x12 (x8 x13) x14 (x8 x15)))(∀ x12 x13 x14 x15 . x0 x12x1 x13x0 x14x1 x15not (x11 x12 x13 x14 x15)not (x11 x12 (x9 x13) x14 (x9 x15)))(∀ x12 x13 x14 x15 . x0 x12x1 x13x0 x14x1 x15not (x11 x12 x13 x14 x15)not (x11 x12 (x10 x13) x14 (x10 x15)))(∀ x12 . x0 x12not (x11 x4 x7 x5 x12))(∀ x12 . x0 x12not (x11 x6 x6 x4 x12))(∀ x12 . x0 x12not (x11 x6 x7 x4 x12))(∀ x12 . x0 x12not (x11 x7 x6 x7 x12))(∀ x12 . x0 x12not (x11 x2 x2 x12 x7))(∀ x12 . x0 x12not (x11 x2 x3 x12 x6))(∀ x12 . x0 x12not (x11 x6 x2 x12 x6))(∀ x12 . x0 x12not (x11 x6 x3 x12 x7))not (x11 x2 x2 x3 x5)not (x11 x2 x2 x4 x2)not (x11 x2 x2 x7 x3)not (x11 x2 x2 x7 x6)not (x11 x2 x3 x4 x2)not (x11 x2 x4 x3 x2)not (x11 x2 x6 x3 x5)not (x11 x2 x6 x3 x6)not (x11 x2 x7 x4 x5)not (x11 x3 x2 x4 x3)not (x11 x3 x2 x4 x5)not (x11 x3 x2 x7 x4)not (x11 x3 x3 x4 x2)not (x11 x3 x4 x4 x2)not (x11 x3 x4 x7 x2)not (x11 x3 x5 x5 x7)not (x11 x3 x5 x6 x2)not (x11 x3 x5 x7 x6)not (x11 x3 x6 x4 x4)not (x11 x3 x6 x4 x7)not (x11 x3 x6 x5 x3)not (x11 x3 x6 x5 x4)not (x11 x3 x6 x6 x3)not (x11 x3 x7 x4 x5)not (x11 x4 x2 x4 x4)not (x11 x4 x2 x4 x5)not (x11 x4 x2 x5 x2)not (x11 x4 x2 x6 x2)not (x11 x4 x2 x6 x3)not (x11 x4 x2 x7 x2)not (x11 x4 x2 x7 x3)not (x11 x4 x5 x4 x6)not (x11 x4 x5 x5 x2)not (x11 x4 x5 x5 x6)not (x11 x4 x5 x7 x2)not (x11 x5 x2 x5 x5)not (x11 x5 x2 x6 x2)not (x11 x5 x2 x6 x5)not (x11 x5 x5 x6 x2)not (x11 x5 x7 x7 x3)not (x11 x5 x7 x7 x6)∀ x12 . x0 x12∀ x13 . x0 x13∀ x14 . x0 x14∀ x15 . x0 x15∀ x16 . x0 x16x11 x4 x5 x3 x12x11 x4 x5 x13 x14x11 x4 x5 x15 x16x11 x3 x12 x13 x14x11 x3 x12 x15 x16x11 x13 x14 x15 x16False
Known bd7c4.. : ∀ x0 x1 : ι → ο . ∀ x2 x3 x4 x5 x6 x7 . (∀ x8 : ι → ο . x8 x2x8 x3x8 x4x8 x5x8 x6x8 x7∀ x9 . x0 x9x8 x9)x0 x2x0 x3x0 x4x0 x5x0 x6x0 x7x1 x2x1 x3x1 x4x1 x5∀ x8 x9 x10 : ι → ι . x8 x2 = x3x8 x3 = x2x8 x4 = x5x8 x5 = x4x9 x2 = x4x9 x3 = x5x9 x4 = x2x9 x5 = x3x10 x2 = x5x10 x3 = x4x10 x4 = x3x10 x5 = x2∀ x11 : ι → ι → ι → ι → ο . (∀ x12 x13 . x0 x12x0 x13not (x11 x12 x13 x12 x13))(∀ x12 x13 x14 x15 . x11 x12 x13 x14 x15x11 x14 x15 x12 x13)(∀ x12 x13 . x0 x12x0 x13not (x11 x12 x13 x7 x7))(∀ x12 x13 x14 x15 . x0 x12x1 x13x0 x14x1 x15not (x11 x12 x13 x14 x15)not (x11 x12 (x8 x13) x14 (x8 x15)))(∀ x12 x13 x14 x15 . x0 x12x1 x13x0 x14x1 x15not (x11 x12 x13 x14 x15)not (x11 x12 (x9 x13) x14 (x9 x15)))(∀ x12 x13 x14 x15 . x0 x12x1 x13x0 x14x1 x15not (x11 x12 x13 x14 x15)not (x11 x12 (x10 x13) x14 (x10 x15)))(∀ x12 . x0 x12not (x11 x4 x7 x5 x12))(∀ x12 . x0 x12not (x11 x4 x7 x7 x12))(∀ x12 . x0 x12not (x11 x6 x6 x4 x12))(∀ x12 . x0 x12not (x11 x6 x7 x4 x12))(∀ x12 . x0 x12not (x11 x2 x2 x12 x7))(∀ x12 . x0 x12not (x11 x2 x3 x12 x6))(∀ x12 . x0 x12not (x11 x6 x2 x12 x6))(∀ x12 . x0 x12not (x11 x6 x3 x12 x7))not (x11 x2 x2 x2 x3)not (x11 x2 x2 x3 x4)not (x11 x2 x2 x4 x2)not (x11 x2 x2 x6 x2)not (x11 x2 x2 x6 x3)not (x11 x2 x2 x7 x6)not (x11 x2 x3 x4 x2)not (x11 x2 x3 x6 x2)not (x11 x2 x4 x3 x2)not (x11 x2 x6 x3 x5)not (x11 x2 x6 x4 x4)not (x11 x2 x7 x4 x5)not (x11 x3 x2 x4 x5)not (x11 x3 x3 x4 x2)not (x11 x3 x4 x4 x2)not (x11 x3 x5 x6 x2)not (x11 x3 x6 x4 x4)not (x11 x3 x6 x4 x7)not (x11 x3 x7 x4 x5)not (x11 x4 x2 x4 x4)not (x11 x4 x2 x4 x5)not (x11 x4 x2 x5 x2)not (x11 x4 x2 x5 x5)not (x11 x4 x2 x6 x2)not (x11 x4 x2 x6 x3)not (x11 x4 x2 x7 x2)not (x11 x4 x2 x7 x3)not (x11 x4 x2 x7 x5)not (x11 x4 x4 x4 x7)not (x11 x4 x4 x5 x7)not (x11 x4 x5 x4 x6)not (x11 x4 x5 x5 x2)not (x11 x4 x5 x5 x6)not (x11 x4 x5 x7 x2)not (x11 x6 x2 x6 x3)not (x11 x6 x3 x7 x6)∀ x12 . x0 x12∀ x13 . x0 x13∀ x14 . x0 x14∀ x15 . x0 x15∀ x16 . x0 x16x11 x4 x5 x4 x12x11 x4 x5 x13 x14x11 x4 x5 x15 x16x11 x4 x12 x13 x14x11 x4 x12 x15 x16x11 x13 x14 x15 x16False
Known 5a1f3.. : ∀ x0 x1 : ι → ο . ∀ x2 x3 x4 x5 x6 x7 . (∀ x8 : ι → ο . x8 x2x8 x3x8 x4x8 x5x8 x6x8 x7∀ x9 . x0 x9x8 x9)x0 x2x0 x3x0 x4x0 x5x0 x6x0 x7x1 x2x1 x3x1 x4x1 x5∀ x8 x9 x10 : ι → ι . x8 x2 = x3x8 x3 = x2x8 x4 = x5x8 x5 = x4x9 x2 = x4x9 x3 = x5x9 x4 = x2x9 x5 = x3x10 x2 = x5x10 x3 = x4x10 x4 = x3x10 x5 = x2∀ x11 : ι → ι → ι → ι → ο . (∀ x12 x13 . x0 x12x0 x13not (x11 x12 x13 x12 x13))(∀ x12 x13 x14 x15 . x11 x12 x13 x14 x15x11 x14 x15 x12 x13)(∀ x12 x13 . x0 x12x0 x13not (x11 x12 x13 x7 x7))(∀ x12 x13 x14 x15 . x0 x12x1 x13x0 x14x1 x15not (x11 x12 x13 x14 x15)not (x11 x12 (x8 x13) x14 (x8 x15)))(∀ x12 x13 x14 x15 . x0 x12x1 x13x0 x14x1 x15not (x11 x12 x13 x14 x15)not (x11 x12 (x9 x13) x14 (x9 x15)))(∀ x12 x13 x14 x15 . x0 x12x1 x13x0 x14x1 x15not (x11 x12 x13 x14 x15)not (x11 x12 (x10 x13) x14 (x10 x15)))(∀ x12 . x0 x12not (x11 x4 x7 x5 x12))(∀ x12 . x0 x12not (x11 x5 x7 x6 x12))(∀ x12 . x0 x12not (x11 x6 x6 x4 x12))(∀ x12 . x0 x12not (x11 x6 x7 x4 x12))(∀ x12 . x0 x12not (x11 x7 x6 x7 x12))(∀ x12 . x0 x12not (x11 x2 x2 x12 x7))(∀ x12 . x0 x12not (x11 x2 x3 x12 x6))(∀ x12 . x0 x12not (x11 x6 x2 x12 x6))not (x11 x2 x2 x3 x5)not (x11 x2 x2 x4 x2)not (x11 x2 x2 x5 x2)not (x11 x2 x2 x5 x5)not (x11 x2 x2 x6 x2)not (x11 x2 x2 x7 x3)not (x11 x2 x2 x7 x6)not (x11 x2 x3 x4 x2)not (x11 x2 x5 x5 x2)not (x11 x2 x6 x3 x6)not (x11 x2 x6 x5 x3)not (x11 x2 x6 x5 x4)not (x11 x2 x7 x4 x5)not (x11 x3 x2 x4 x5)not (x11 x3 x2 x7 x4)not (x11 x3 x3 x4 x2)not (x11 x3 x4 x4 x2)not (x11 x3 x4 x7 x2)not (x11 x3 x5 x5 x7)not (x11 x3 x5 x6 x2)not (x11 x3 x5 x7 x6)not (x11 x3 x6 x5 x3)not (x11 x3 x6 x5 x4)not (x11 x3 x7 x4 x5)not (x11 x4 x2 x4 x4)not (x11 x4 x2 x4 x5)not (x11 x4 x2 x5 x2)not (x11 x4 x2 x6 x2)not (x11 x4 x2 x6 x3)not (x11 x4 x2 x7 x2)not (x11 x4 x2 x7 x3)not (x11 x4 x4 x5 x7)not (x11 x4 x5 x4 x6)not (x11 x4 x5 x5 x2)not (x11 x4 x5 x5 x6)not (x11 x4 x5 x7 x2)not (x11 x5 x2 x5 x5)not (x11 x5 x2 x6 x2)not (x11 x5 x2 x6 x5)not (x11 x5 x2 x7 x5)not (x11 x5 x3 x6 x2)not (x11 x5 x7 x7 x3)not (x11 x5 x7 x7 x6)∀ x12 . x0 x12∀ x13 . x0 x13∀ x14 . x0 x14∀ x15 . x0 x15∀ x16 . x0 x16x11 x4 x5 x5 x12x11 x4 x5 x13 x14x11 x4 x5 x15 x16x11 x5 x12 x13 x14x11 x5 x12 x15 x16x11 x13 x14 x15 x16False
Known 9cde8.. : ∀ x0 x1 : ι → ο . ∀ x2 x3 x4 x5 x6 x7 . (∀ x8 : ι → ο . x8 x2x8 x3x8 x4x8 x5x8 x6x8 x7∀ x9 . x0 x9x8 x9)x0 x2x0 x3x0 x4x0 x5x0 x6x0 x7x1 x2x1 x3x1 x4x1 x5∀ x8 x9 x10 : ι → ι . x8 x2 = x3x8 x3 = x2x8 x4 = x5x8 x5 = x4x9 x2 = x4x9 x3 = x5x9 x4 = x2x9 x5 = x3x10 x2 = x5x10 x3 = x4x10 x4 = x3x10 x5 = x2∀ x11 : ι → ι → ι → ι → ο . (∀ x12 x13 . x0 x12x0 x13not (x11 x12 x13 x12 x13))(∀ x12 x13 x14 x15 . x11 x12 x13 x14 x15x11 x14 x15 x12 x13)(∀ x12 x13 . x0 x12x0 x13not (x11 x12 x13 x7 x7))(∀ x12 x13 x14 x15 . x0 x12x1 x13x0 x14x1 x15not (x11 x12 x13 x14 x15)not (x11 x12 (x8 x13) x14 (x8 x15)))(∀ x12 x13 x14 x15 . x0 x12x1 x13x0 x14x1 x15not (x11 x12 x13 x14 x15)not (x11 x12 (x9 x13) x14 (x9 x15)))(∀ x12 x13 x14 x15 . x0 x12x1 x13x0 x14x1 x15not (x11 x12 x13 x14 x15)not (x11 x12 (x10 x13) x14 (x10 x15)))(∀ x12 . x0 x12not (x11 x4 x7 x5 x12))(∀ x12 . x0 x12not (x11 x4 x7 x7 x12))(∀ x12 . x0 x12not (x11 x5 x7 x6 x12))(∀ x12 . x0 x12not (x11 x6 x6 x4 x12))(∀ x12 . x0 x12not (x11 x6 x7 x4 x12))(∀ x12 . x0 x12not (x11 x6 x2 x12 x6))(∀ x12 . x0 x12not (x11 x6 x3 x12 x7))not (x11 x2 x2 x4 x2)not (x11 x2 x2 x6 x2)not (x11 x2 x2 x6 x3)not (x11 x2 x3 x4 x2)not (x11 x2 x3 x6 x2)not (x11 x2 x6 x3 x5)not (x11 x2 x6 x4 x4)not (x11 x2 x6 x7 x3)not (x11 x2 x7 x4 x5)not (x11 x3 x2 x4 x3)not (x11 x3 x2 x4 x5)not (x11 x3 x2 x7 x4)not (x11 x3 x3 x4 x2)not (x11 x3 x4 x4 x2)not (x11 x3 x4 x7 x2)not (x11 x3 x5 x6 x2)not (x11 x3 x6 x6 x3)not (x11 x3 x7 x4 x5)not (x11 x4 x2 x4 x4)not (x11 x4 x2 x4 x5)not (x11 x4 x2 x5 x2)not (x11 x4 x2 x6 x2)not (x11 x4 x2 x6 x3)not (x11 x4 x2 x7 x2)not (x11 x4 x2 x7 x3)not (x11 x4 x2 x7 x5)not (x11 x4 x4 x4 x7)not (x11 x4 x5 x4 x6)not (x11 x4 x5 x5 x2)not (x11 x4 x5 x5 x6)not (x11 x4 x5 x7 x2)not (x11 x5 x2 x6 x2)not (x11 x5 x2 x7 x5)not (x11 x5 x3 x6 x2)not (x11 x5 x5 x6 x2)not (x11 x5 x5 x7 x2)not (x11 x6 x2 x6 x3)not (x11 x6 x3 x7 x6)∀ x12 . x0 x12∀ x13 . x0 x13∀ x14 . x0 x14∀ x15 . x0 x15∀ x16 . x0 x16x11 x4 x5 x6 x12x11 x4 x5 x13 x14x11 x4 x5 x15 x16x11 x6 x12 x13 x14x11 x6 x12 x15 x16x11 x13 x14 x15 x16False
Known 9c410.. : ∀ x0 x1 : ι → ο . ∀ x2 x3 x4 x5 x6 x7 . (∀ x8 : ι → ο . x8 x2x8 x3x8 x4x8 x5x8 x6x8 x7∀ x9 . x0 x9x8 x9)x0 x2x0 x3x0 x4x0 x5x0 x6x0 x7x1 x2x1 x3x1 x4x1 x5∀ x8 x9 x10 : ι → ι . x8 x2 = x3x8 x3 = x2x8 x4 = x5x8 x5 = x4x9 x2 = x4x9 x3 = x5x9 x4 = x2x9 x5 = x3x10 x2 = x5x10 x3 = x4x10 x4 = x3x10 x5 = x2∀ x11 : ι → ι → ι → ι → ο . (∀ x12 x13 . x0 x12x0 x13not (x11 x12 x13 x12 x13))(∀ x12 x13 x14 x15 . x11 x12 x13 x14 x15x11 x14 x15 x12 x13)(∀ x12 x13 . x0 x12x0 x13not (x11 x12 x13 x7 x7))(∀ x12 x13 x14 x15 . x0 x12x1 x13x0 x14x1 x15not (x11 x12 x13 x14 x15)not (x11 x12 (x8 x13) x14 (x8 x15)))(∀ x12 x13 x14 x15 . x0 x12x1 x13x0 x14x1 x15not (x11 x12 x13 x14 x15)not (x11 x12 (x9 x13) x14 (x9 x15)))(∀ x12 x13 x14 x15 . x0 x12x1 x13x0 x14x1 x15not (x11 x12 x13 x14 x15)not (x11 x12 (x10 x13) x14 (x10 x15)))(∀ x12 . x0 x12not (x11 x4 x7 x7 x12))(∀ x12 . x0 x12not (x11 x6 x6 x4 x12))(∀ x12 . x0 x12not (x11 x6 x7 x4 x12))(∀ x12 . x0 x12not (x11 x7 x6 x7 x12))(∀ x12 . x0 x12not (x11 x2 x3 x12 x6))(∀ x12 . x0 x12not (x11 x6 x2 x12 x6))not (x11 x2 x2 x4 x2)not (x11 x2 x2 x5 x2)not (x11 x2 x2 x6 x2)not (x11 x2 x2 x7 x3)not (x11 x2 x2 x7 x6)not (x11 x2 x3 x4 x2)not (x11 x2 x3 x6 x2)not (x11 x2 x6 x3 x6)not (x11 x2 x6 x4 x4)not (x11 x2 x6 x5 x3)not (x11 x2 x6 x5 x4)not (x11 x2 x6 x7 x3)not (x11 x2 x7 x4 x5)not (x11 x3 x2 x4 x5)not (x11 x3 x3 x4 x2)not (x11 x3 x4 x4 x2)not (x11 x3 x4 x7 x2)not (x11 x3 x5 x7 x6)not (x11 x3 x6 x4 x4)not (x11 x3 x6 x5 x3)not (x11 x3 x6 x5 x4)not (x11 x3 x6 x6 x3)not (x11 x3 x7 x4 x5)not (x11 x4 x2 x4 x4)not (x11 x4 x2 x4 x5)not (x11 x4 x2 x5 x2)not (x11 x4 x2 x5 x5)not (x11 x4 x2 x6 x2)not (x11 x4 x2 x6 x3)not (x11 x4 x2 x7 x2)not (x11 x4 x2 x7 x3)not (x11 x4 x5 x4 x6)not (x11 x4 x5 x5 x2)not (x11 x4 x5 x5 x6)not (x11 x4 x5 x7 x2)not (x11 x5 x2 x5 x5)not (x11 x5 x2 x6 x2)not (x11 x5 x3 x6 x2)not (x11 x5 x5 x7 x2)not (x11 x5 x7 x7 x3)not (x11 x5 x7 x7 x6)not (x11 x6 x2 x6 x3)not (x11 x6 x3 x7 x6)∀ x12 . x0 x12∀ x13 . x0 x13∀ x14 . x0 x14∀ x15 . x0 x15∀ x16 . x0 x16x11 x4 x5 x7 x12x11 x4 x5 x13 x14x11 x4 x5 x15 x16x11 x7 x12 x13 x14x11 x7 x12 x15 x16x11 x13 x14 x15 x16False
Known 1db72.. : ∀ x0 x1 : ι → ο . ∀ x2 x3 x4 x5 x6 x7 . (∀ x8 : ι → ο . x8 x2x8 x3x8 x4x8 x5x8 x6x8 x7∀ x9 . x0 x9x8 x9)x0 x2x0 x3x0 x4x0 x5x0 x6x0 x7x1 x2x1 x3x1 x4x1 x5∀ x8 x9 x10 : ι → ι . x8 x2 = x3x8 x3 = x2x8 x4 = x5x8 x5 = x4x9 x2 = x4x9 x3 = x5x9 x4 = x2x9 x5 = x3x10 x2 = x5x10 x3 = x4x10 x4 = x3x10 x5 = x2∀ x11 : ι → ι → ι → ι → ο . (∀ x12 x13 . x0 x12x0 x13not (x11 x12 x13 x12 x13))(∀ x12 x13 x14 x15 . x11 x12 x13 x14 x15x11 x14 x15 x12 x13)(∀ x12 x13 . x0 x12x0 x13not (x11 x12 x13 x7 x7))(∀ x12 x13 x14 x15 . x0 x12x1 x13x0 x14x1 x15not (x11 x12 x13 x14 x15)not (x11 x12 (x8 x13) x14 (x8 x15)))(∀ x12 x13 x14 x15 . x0 x12x1 x13x0 x14x1 x15not (x11 x12 x13 x14 x15)not (x11 x12 (x9 x13) x14 (x9 x15)))(∀ x12 x13 x14 x15 . x0 x12x1 x13x0 x14x1 x15not (x11 x12 x13 x14 x15)not (x11 x12 (x10 x13) x14 (x10 x15)))(∀ x12 . x0 x12not (x11 x4 x6 x5 x12))(∀ x12 . x0 x12not (x11 x4 x6 x7 x12))(∀ x12 . x0 x12not (x11 x6 x6 x4 x12))(∀ x12 . x0 x12not (x11 x6 x7 x4 x12))(∀ x12 . x0 x12not (x11 x2 x2 x12 x7))(∀ x12 . x0 x12not (x11 x2 x3 x12 x6))(∀ x12 . x0 x12not (x11 x6 x2 x12 x6))(∀ x12 . x0 x12not (x11 x6 x3 x12 x7))not (x11 x2 x2 x3 x4)not (x11 x2 x2 x4 x2)not (x11 x2 x2 x6 x3)not (x11 x2 x3 x6 x2)not (x11 x2 x4 x2 x6)not (x11 x2 x4 x3 x2)not (x11 x2 x4 x4 x7)not (x11 x2 x5 x4 x6)not (x11 x2 x6 x2 x7)not (x11 x2 x6 x3 x2)not (x11 x2 x6 x4 x4)not (x11 x2 x6 x6 x5)not (x11 x2 x7 x3 x4)not (x11 x2 x7 x4 x2)not (x11 x3 x2 x4 x4)not (x11 x3 x2 x4 x7)not (x11 x3 x2 x6 x5)not (x11 x3 x3 x4 x6)not (x11 x3 x4 x4 x2)not (x11 x3 x4 x4 x7)not (x11 x3 x5 x4 x6)not (x11 x3 x5 x6 x2)not (x11 x3 x6 x4 x6)not (x11 x3 x7 x4 x6)not (x11 x4 x2 x4 x7)not (x11 x4 x2 x6 x3)not (x11 x4 x3 x4 x6)not (x11 x4 x3 x6 x2)not (x11 x4 x4 x4 x7)not (x11 x4 x5 x4 x6)not (x11 x4 x6 x6 x4)not (x11 x4 x7 x6 x5)∀ x12 . x0 x12∀ x13 . x0 x13∀ x14 . x0 x14∀ x15 . x0 x15∀ x16 . x0 x16x11 x4 x6 x2 x12x11 x4 x6 x13 x14x11 x4 x6 x15 x16x11 x2 x12 x13 x14x11 x2 x12 x15 x16x11 x13 x14 x15 x16False
Known e27c0.. : ∀ x0 x1 : ι → ο . ∀ x2 x3 x4 x5 x6 x7 . (∀ x8 : ι → ο . x8 x2x8 x3x8 x4x8 x5x8 x6x8 x7∀ x9 . x0 x9x8 x9)x0 x2x0 x3x0 x4x0 x5x0 x6x0 x7x1 x2x1 x3x1 x4x1 x5∀ x8 x9 x10 : ι → ι . x8 x2 = x3x8 x3 = x2x8 x4 = x5x8 x5 = x4x9 x2 = x4x9 x3 = x5x9 x4 = x2x9 x5 = x3x10 x2 = x5x10 x3 = x4x10 x4 = x3x10 x5 = x2∀ x11 : ι → ι → ι → ι → ο . (∀ x12 x13 . x0 x12x0 x13not (x11 x12 x13 x12 x13))(∀ x12 x13 x14 x15 . x11 x12 x13 x14 x15x11 x14 x15 x12 x13)(∀ x12 x13 . x0 x12x0 x13not (x11 x12 x13 x7 x7))(∀ x12 x13 x14 x15 . x0 x12x1 x13x0 x14x1 x15not (x11 x12 x13 x14 x15)not (x11 x12 (x8 x13) x14 (x8 x15)))(∀ x12 x13 x14 x15 . x0 x12x1 x13x0 x14x1 x15not (x11 x12 x13 x14 x15)not (x11 x12 (x9 x13) x14 (x9 x15)))(∀ x12 x13 x14 x15 . x0 x12x1 x13x0 x14x1 x15not (x11 x12 x13 x14 x15)not (x11 x12 (x10 x13) x14 (x10 x15)))(∀ x12 . x0 x12not (x11 x4 x6 x5 x12))(∀ x12 . x0 x12not (x11 x4 x6 x7 x12))(∀ x12 . x0 x12not (x11 x6 x6 x4 x12))(∀ x12 . x0 x12not (x11 x6 x7 x4 x12))(∀ x12 . x0 x12not (x11 x2 x2 x12 x7))(∀ x12 . x0 x12not (x11 x2 x3 x12 x6))(∀ x12 . x0 x12not (x11 x6 x2 x12 x6))(∀ x12 . x0 x12not (x11 x6 x3 x12 x7))not (x11 x2 x2 x3 x4)not (x11 x2 x2 x4 x2)not (x11 x2 x2 x6 x3)not (x11 x2 x3 x6 x2)not (x11 x2 x4 x2 x6)not (x11 x2 x4 x3 x2)not (x11 x2 x5 x4 x6)not (x11 x2 x6 x3 x2)not (x11 x2 x6 x4 x4)not (x11 x2 x6 x6 x5)not (x11 x2 x7 x3 x4)not (x11 x2 x7 x4 x2)not (x11 x3 x2 x4 x4)not (x11 x3 x2 x4 x7)not (x11 x3 x2 x6 x5)not (x11 x3 x3 x4 x6)not (x11 x3 x4 x4 x2)not (x11 x3 x4 x4 x7)not (x11 x3 x5 x4 x6)not (x11 x3 x5 x6 x2)not (x11 x3 x6 x4 x6)not (x11 x3 x7 x4 x6)not (x11 x4 x2 x6 x3)not (x11 x4 x3 x4 x6)not (x11 x4 x3 x6 x2)not (x11 x4 x5 x4 x6)not (x11 x4 x6 x6 x4)∀ x12 . x0 x12∀ x13 . x0 x13∀ x14 . x0 x14∀ x15 . x0 x15∀ x16 . x0 x16x11 x4 x6 x3 x12x11 x4 x6 x13 x14x11 x4 x6 x15 x16x11 x3 x12 x13 x14x11 x3 x12 x15 x16x11 x13 x14 x15 x16False
Known c29d7.. : ∀ x0 x1 : ι → ο . ∀ x2 x3 x4 x5 x6 x7 . (∀ x8 : ι → ο . x8 x2x8 x3x8 x4x8 x5x8 x6x8 x7∀ x9 . x0 x9x8 x9)x0 x2x0 x3x0 x4x0 x5x0 x6x0 x7x1 x2x1 x3x1 x4x1 x5∀ x8 x9 x10 : ι → ι . x8 x2 = x3x8 x3 = x2x8 x4 = x5x8 x5 = x4x9 x2 = x4x9 x3 = x5x9 x4 = x2x9 x5 = x3x10 x2 = x5x10 x3 = x4x10 x4 = x3x10 x5 = x2∀ x11 : ι → ι → ι → ι → ο . (∀ x12 x13 . x0 x12x0 x13not (x11 x12 x13 x12 x13))(∀ x12 x13 x14 x15 . x11 x12 x13 x14 x15x11 x14 x15 x12 x13)(∀ x12 x13 . x0 x12x0 x13not (x11 x12 x13 x7 x7))(∀ x12 x13 x14 x15 . x0 x12x1 x13x0 x14x1 x15not (x11 x12 x13 x14 x15)not (x11 x12 (x8 x13) x14 (x8 x15)))(∀ x12 x13 x14 x15 . x0 x12x1 x13x0 x14x1 x15not (x11 x12 x13 x14 x15)not (x11 x12 (x9 x13) x14 (x9 x15)))(∀ x12 x13 x14 x15 . x0 x12x1 x13x0 x14x1 x15not (x11 x12 x13 x14 x15)not (x11 x12 (x10 x13) x14 (x10 x15)))(∀ x12 . x0 x12not (x11 x4 x6 x5 x12))(∀ x12 . x0 x12not (x11 x4 x6 x7 x12))(∀ x12 . x0 x12not (x11 x6 x6 x4 x12))(∀ x12 . x0 x12not (x11 x6 x7 x4 x12))(∀ x12 . x0 x12not (x11 x2 x2 x12 x7))(∀ x12 . x0 x12not (x11 x2 x3 x12 x6))(∀ x12 . x0 x12not (x11 x6 x2 x12 x6))(∀ x12 . x0 x12not (x11 x6 x3 x12 x7))not (x11 x2 x2 x3 x4)not (x11 x2 x2 x4 x2)not (x11 x2 x2 x6 x3)not (x11 x2 x3 x6 x2)not (x11 x2 x4 x2 x6)not (x11 x2 x4 x3 x2)not (x11 x2 x4 x4 x7)not (x11 x2 x5 x4 x6)not (x11 x2 x6 x2 x7)not (x11 x2 x6 x3 x2)not (x11 x2 x6 x4 x4)not (x11 x2 x6 x6 x5)not (x11 x2 x7 x3 x4)not (x11 x2 x7 x4 x2)not (x11 x3 x2 x4 x4)not (x11 x3 x2 x4 x7)not (x11 x3 x2 x6 x5)not (x11 x3 x3 x4 x6)not (x11 x3 x4 x4 x2)not (x11 x3 x4 x4 x7)not (x11 x3 x5 x4 x6)not (x11 x3 x5 x6 x2)not (x11 x3 x6 x4 x6)not (x11 x3 x7 x4 x6)not (x11 x4 x2 x4 x4)not (x11 x4 x2 x4 x7)not (x11 x4 x2 x6 x3)not (x11 x4 x3 x4 x6)not (x11 x4 x4 x4 x7)not (x11 x4 x5 x4 x6)not (x11 x4 x6 x6 x4)not (x11 x4 x7 x6 x5)∀ x12 . x0 x12∀ x13 . x0 x13∀ x14 . x0 x14∀ x15 . x0 x15∀ x16 . x0 x16x11 x4 x6 x4 x12x11 x4 x6 x13 x14x11 x4 x6 x15 x16x11 x4 x12 x13 x14x11 x4 x12 x15 x16x11 x13 x14 x15 x16False
Known e08a5.. : ∀ x0 x1 : ι → ο . ∀ x2 x3 x4 x5 x6 x7 . (∀ x8 : ι → ο . x8 x2x8 x3x8 x4x8 x5x8 x6x8 x7∀ x9 . x0 x9x8 x9)x0 x2x0 x3x0 x4x0 x5x0 x6x0 x7x1 x2x1 x3x1 x4x1 x5∀ x8 x9 x10 : ι → ι . x8 x2 = x3x8 x3 = x2x8 x4 = x5x8 x5 = x4x9 x2 = x4x9 x3 = x5x9 x4 = x2x9 x5 = x3x10 x2 = x5x10 x3 = x4x10 x4 = x3x10 x5 = x2∀ x11 : ι → ι → ι → ι → ο . (∀ x12 x13 . x0 x12x0 x13not (x11 x12 x13 x12 x13))(∀ x12 x13 x14 x15 . x11 x12 x13 x14 x15x11 x14 x15 x12 x13)(∀ x12 x13 . x0 x12x0 x13not (x11 x12 x13 x7 x7))(∀ x12 x13 x14 x15 . x0 x12x1 x13x0 x14x1 x15not (x11 x12 x13 x14 x15)not (x11 x12 (x8 x13) x14 (x8 x15)))(∀ x12 x13 x14 x15 . x0 x12x1 x13x0 x14x1 x15not (x11 x12 x13 x14 x15)not (x11 x12 (x9 x13) x14 (x9 x15)))(∀ x12 x13 x14 x15 . x0 x12x1 x13x0 x14x1 x15not (x11 x12 x13 x14 x15)not (x11 x12 (x10 x13) x14 (x10 x15)))(∀ x12 . x0 x12not (x11 x4 x6 x5 x12))(∀ x12 . x0 x12not (x11 x4 x6 x7 x12))(∀ x12 . x0 x12not (x11 x6 x6 x4 x12))(∀ x12 . x0 x12not (x11 x6 x7 x4 x12))(∀ x12 . x0 x12not (x11 x2 x2 x12 x7))(∀ x12 . x0 x12not (x11 x2 x3 x12 x6))(∀ x12 . x0 x12not (x11 x6 x2 x12 x6))(∀ x12 . x0 x12not (x11 x6 x3 x12 x7))not (x11 x2 x2 x3 x4)not (x11 x2 x2 x4 x2)not (x11 x2 x2 x6 x3)not (x11 x2 x3 x6 x2)not (x11 x2 x4 x2 x6)not (x11 x2 x4 x3 x2)not (x11 x2 x5 x4 x6)not (x11 x2 x6 x3 x2)not (x11 x2 x6 x4 x4)not (x11 x2 x6 x6 x5)not (x11 x2 x7 x3 x4)not (x11 x2 x7 x4 x2)not (x11 x3 x2 x4 x4)not (x11 x3 x2 x6 x5)not (x11 x3 x3 x4 x6)not (x11 x3 x4 x4 x2)not (x11 x3 x5 x4 x6)not (x11 x3 x5 x6 x2)not (x11 x3 x6 x4 x6)not (x11 x3 x7 x4 x6)not (x11 x4 x2 x6 x3)not (x11 x4 x3 x4 x6)not (x11 x4 x3 x6 x2)not (x11 x4 x5 x4 x6)not (x11 x4 x6 x6 x4)not (x11 x4 x7 x6 x5)∀ x12 . x0 x12∀ x13 . x0 x13∀ x14 . x0 x14∀ x15 . x0 x15∀ x16 . x0 x16x11 x4 x6 x6 x12x11 x4 x6 x13 x14x11 x4 x6 x15 x16x11 x6 x12 x13 x14x11 x6 x12 x15 x16x11 x13 x14 x15 x16False
Known 7508b.. : ∀ x0 x1 : ι → ο . ∀ x2 x3 x4 x5 x6 x7 . (∀ x8 : ι → ο . x8 x2x8 x3x8 x4x8 x5x8 x6x8 x7∀ x9 . x0 x9x8 x9)x0 x2x0 x3x0 x4x0 x5x0 x6x0 x7x1 x2x1 x3x1 x4x1 x5∀ x8 x9 x10 : ι → ι . x8 x2 = x3x8 x3 = x2x8 x4 = x5x8 x5 = x4x9 x2 = x4x9 x3 = x5x9 x4 = x2x9 x5 = x3x10 x2 = x5x10 x3 = x4x10 x4 = x3x10 x5 = x2∀ x11 : ι → ι → ι → ι → ο . (∀ x12 x13 . x0 x12x0 x13not (x11 x12 x13 x12 x13))(∀ x12 x13 x14 x15 . x11 x12 x13 x14 x15x11 x14 x15 x12 x13)(∀ x12 x13 . x0 x12x0 x13not (x11 x12 x13 x7 x7))(∀ x12 x13 x14 x15 . x0 x12x1 x13x0 x14x1 x15not (x11 x12 x13 x14 x15)not (x11 x12 (x8 x13) x14 (x8 x15)))(∀ x12 x13 x14 x15 . x0 x12x1 x13x0 x14x1 x15not (x11 x12 x13 x14 x15)not (x11 x12 (x9 x13) x14 (x9 x15)))(∀ x12 x13 x14 x15 . x0 x12x1 x13x0 x14x1 x15not (x11 x12 x13 x14 x15)not (x11 x12 (x10 x13) x14 (x10 x15)))(∀ x12 . x0 x12not (x11 x4 x7 x5 x12))(∀ x12 . x0 x12not (x11 x4 x7 x7 x12))(∀ x12 . x0 x12not (x11 x6 x6 x4 x12))(∀ x12 . x0 x12not (x11 x6 x7 x4 x12))(∀ x12 . x0 x12not (x11 x2 x2 x12 x7))(∀ x12 . x0 x12not (x11 x2 x3 x12 x6))(∀ x12 . x0 x12not (x11 x6 x2 x12 x6))(∀ x12 . x0 x12not (x11 x6 x3 x12 x7))not (x11 x2 x2 x3 x4)not (x11 x2 x2 x4 x2)not (x11 x2 x2 x6 x3)not (x11 x2 x3 x6 x2)not (x11 x2 x4 x3 x2)not (x11 x2 x4 x4 x7)not (x11 x2 x5 x2 x7)not (x11 x2 x5 x4 x6)not (x11 x2 x6 x2 x7)not (x11 x2 x6 x3 x5)not (x11 x2 x6 x4 x3)not (x11 x2 x7 x3 x3)not (x11 x2 x7 x4 x5)not (x11 x2 x7 x6 x4)not (x11 x3 x2 x4 x4)not (x11 x3 x2 x4 x7)not (x11 x3 x2 x6 x5)not (x11 x3 x3 x4 x6)not (x11 x3 x4 x4 x2)not (x11 x3 x4 x4 x7)not (x11 x3 x5 x4 x6)not (x11 x3 x5 x6 x2)not (x11 x3 x6 x4 x7)not (x11 x3 x7 x4 x7)not (x11 x4 x2 x4 x7)not (x11 x4 x2 x6 x3)not (x11 x4 x3 x4 x6)not (x11 x4 x3 x6 x2)not (x11 x4 x4 x4 x7)not (x11 x4 x5 x4 x6)not (x11 x4 x6 x6 x4)not (x11 x4 x7 x6 x5)∀ x12 . x0 x12∀ x13 . x0 x13∀ x14 . x0 x14∀ x15 . x0 x15∀ x16 . x0 x16x11 x4 x7 x2 x12x11 x4 x7 x13 x14x11 x4 x7 x15 x16x11 x2 x12 x13 x14x11 x2 x12 x15 x16x11 x13 x14 x15 x16False
Known be2fe.. : ∀ x0 x1 : ι → ο . ∀ x2 x3 x4 x5 x6 x7 . (∀ x8 : ι → ο . x8 x2x8 x3x8 x4x8 x5x8 x6x8 x7∀ x9 . x0 x9x8 x9)x0 x2x0 x3x0 x4x0 x5x0 x6x0 x7x1 x2x1 x3x1 x4x1 x5∀ x8 x9 x10 : ι → ι . x8 x2 = x3x8 x3 = x2x8 x4 = x5x8 x5 = x4x9 x2 = x4x9 x3 = x5x9 x4 = x2x9 x5 = x3x10 x2 = x5x10 x3 = x4x10 x4 = x3x10 x5 = x2∀ x11 : ι → ι → ι → ι → ο . (∀ x12 x13 . x0 x12x0 x13not (x11 x12 x13 x12 x13))(∀ x12 x13 x14 x15 . x11 x12 x13 x14 x15x11 x14 x15 x12 x13)(∀ x12 x13 . x0 x12x0 x13not (x11 x12 x13 x7 x7))(∀ x12 x13 x14 x15 . x0 x12x1 x13x0 x14x1 x15not (x11 x12 x13 x14 x15)not (x11 x12 (x8 x13) x14 (x8 x15)))(∀ x12 x13 x14 x15 . x0 x12x1 x13x0 x14x1 x15not (x11 x12 x13 x14 x15)not (x11 x12 (x9 x13) x14 (x9 x15)))(∀ x12 x13 x14 x15 . x0 x12x1 x13x0 x14x1 x15not (x11 x12 x13 x14 x15)not (x11 x12 (x10 x13) x14 (x10 x15)))(∀ x12 . x0 x12not (x11 x4 x7 x5 x12))(∀ x12 . x0 x12not (x11 x4 x7 x7 x12))(∀ x12 . x0 x12not (x11 x6 x6 x4 x12))(∀ x12 . x0 x12not (x11 x6 x7 x4 x12))(∀ x12 . x0 x12not (x11 x2 x2 x12 x7))(∀ x12 . x0 x12not (x11 x2 x3 x12 x6))(∀ x12 . x0 x12not (x11 x6 x2 x12 x6))(∀ x12 . x0 x12not (x11 x6 x3 x12 x7))not (x11 x2 x2 x3 x4)not (x11 x2 x2 x4 x2)not (x11 x2 x2 x6 x3)not (x11 x2 x3 x6 x2)not (x11 x2 x4 x3 x2)not (x11 x2 x4 x4 x7)not (x11 x2 x5 x2 x7)not (x11 x2 x6 x3 x5)not (x11 x2 x6 x4 x3)not (x11 x2 x7 x3 x3)not (x11 x2 x7 x4 x5)not (x11 x2 x7 x6 x4)not (x11 x3 x2 x4 x4)not (x11 x3 x2 x4 x7)not (x11 x3 x2 x6 x5)not (x11 x3 x3 x4 x6)not (x11 x3 x4 x4 x2)not (x11 x3 x4 x4 x7)not (x11 x3 x5 x4 x6)not (x11 x3 x5 x6 x2)not (x11 x3 x6 x4 x7)not (x11 x3 x7 x4 x7)not (x11 x4 x2 x4 x7)not (x11 x4 x2 x6 x3)not (x11 x4 x3 x6 x2)not (x11 x4 x4 x4 x7)not (x11 x4 x7 x6 x5)∀ x12 . x0 x12∀ x13 . x0 x13∀ x14 . x0 x14∀ x15 . x0 x15∀ x16 . x0 x16x11 x4 x7 x3 x12x11 x4 x7 x13 x14x11 x4 x7 x15 x16x11 x3 x12 x13 x14x11 x3 x12 x15 x16x11 x13 x14 x15 x16False
Known ce053.. : ∀ x0 x1 : ι → ο . ∀ x2 x3 x4 x5 x6 x7 . (∀ x8 : ι → ο . x8 x2x8 x3x8 x4x8 x5x8 x6x8 x7∀ x9 . x0 x9x8 x9)x0 x2x0 x3x0 x4x0 x5x0 x6x0 x7x1 x2x1 x3x1 x4x1 x5∀ x8 x9 x10 : ι → ι . x8 x2 = x3x8 x3 = x2x8 x4 = x5x8 x5 = x4x9 x2 = x4x9 x3 = x5x9 x4 = x2x9 x5 = x3x10 x2 = x5x10 x3 = x4x10 x4 = x3x10 x5 = x2∀ x11 : ι → ι → ι → ι → ο . (∀ x12 x13 . x0 x12x0 x13not (x11 x12 x13 x12 x13))(∀ x12 x13 x14 x15 . x11 x12 x13 x14 x15x11 x14 x15 x12 x13)(∀ x12 x13 . x0 x12x0 x13not (x11 x12 x13 x7 x7))(∀ x12 x13 x14 x15 . x0 x12x1 x13x0 x14x1 x15not (x11 x12 x13 x14 x15)not (x11 x12 (x8 x13) x14 (x8 x15)))(∀ x12 x13 x14 x15 . x0 x12x1 x13x0 x14x1 x15not (x11 x12 x13 x14 x15)not (x11 x12 (x9 x13) x14 (x9 x15)))(∀ x12 x13 x14 x15 . x0 x12x1 x13x0 x14x1 x15not (x11 x12 x13 x14 x15)not (x11 x12 (x10 x13) x14 (x10 x15)))(∀ x12 . x0 x12not (x11 x4 x7 x5 x12))(∀ x12 . x0 x12not (x11 x4 x7 x7 x12))(∀ x12 . x0 x12not (x11 x6 x6 x4 x12))(∀ x12 . x0 x12not (x11 x6 x7 x4 x12))(∀ x12 . x0 x12not (x11 x2 x2 x12 x7))(∀ x12 . x0 x12not (x11 x2 x3 x12 x6))(∀ x12 . x0 x12not (x11 x6 x2 x12 x6))(∀ x12 . x0 x12not (x11 x6 x3 x12 x7))not (x11 x2 x2 x3 x4)not (x11 x2 x2 x4 x2)not (x11 x2 x2 x6 x3)not (x11 x2 x3 x6 x2)not (x11 x2 x4 x3 x2)not (x11 x2 x4 x4 x7)not (x11 x2 x5 x2 x7)not (x11 x2 x5 x4 x6)not (x11 x2 x6 x2 x7)not (x11 x2 x6 x3 x5)not (x11 x2 x6 x4 x3)not (x11 x2 x7 x3 x3)not (x11 x2 x7 x4 x5)not (x11 x2 x7 x6 x4)not (x11 x3 x2 x4 x7)not (x11 x3 x2 x6 x5)not (x11 x3 x3 x4 x6)not (x11 x3 x4 x4 x2)not (x11 x3 x4 x4 x7)not (x11 x3 x5 x4 x6)not (x11 x3 x5 x6 x2)not (x11 x3 x6 x4 x7)not (x11 x3 x7 x4 x7)not (x11 x4 x2 x4 x4)not (x11 x4 x2 x4 x7)not (x11 x4 x2 x6 x3)not (x11 x4 x3 x4 x6)not (x11 x4 x3 x6 x2)not (x11 x4 x4 x4 x7)not (x11 x4 x5 x4 x6)not (x11 x4 x6 x6 x4)not (x11 x4 x7 x6 x5)∀ x12 . x0 x12∀ x13 . x0 x13∀ x14 . x0 x14∀ x15 . x0 x15∀ x16 . x0 x16x11 x4 x7 x4 x12x11 x4 x7 x13 x14x11 x4 x7 x15 x16x11 x4 x12 x13 x14x11 x4 x12 x15 x16x11 x13 x14 x15 x16False
Known 759d1.. : ∀ x0 x1 : ι → ο . ∀ x2 x3 x4 x5 x6 x7 . (∀ x8 : ι → ο . x8 x2x8 x3x8 x4x8 x5x8 x6x8 x7∀ x9 . x0 x9x8 x9)x0 x2x0 x3x0 x4x0 x5x0 x6x0 x7x1 x2x1 x3x1 x4x1 x5∀ x8 x9 x10 : ι → ι . x8 x2 = x3x8 x3 = x2x8 x4 = x5x8 x5 = x4x9 x2 = x4x9 x3 = x5x9 x4 = x2x9 x5 = x3x10 x2 = x5x10 x3 = x4x10 x4 = x3x10 x5 = x2∀ x11 : ι → ι → ι → ι → ο . (∀ x12 x13 . x0 x12x0 x13not (x11 x12 x13 x12 x13))(∀ x12 x13 x14 x15 . x11 x12 x13 x14 x15x11 x14 x15 x12 x13)(∀ x12 x13 . x0 x12x0 x13not (x11 x12 x13 x7 x7))(∀ x12 x13 x14 x15 . x0 x12x1 x13x0 x14x1 x15not (x11 x12 x13 x14 x15)not (x11 x12 (x8 x13) x14 (x8 x15)))(∀ x12 x13 x14 x15 . x0 x12x1 x13x0 x14x1 x15not (x11 x12 x13 x14 x15)not (x11 x12 (x9 x13) x14 (x9 x15)))(∀ x12 x13 x14 x15 . x0 x12x1 x13x0 x14x1 x15not (x11 x12 x13 x14 x15)not (x11 x12 (x10 x13) x14 (x10 x15)))(∀ x12 . x0 x12not (x11 x4 x7 x5 x12))(∀ x12 . x0 x12not (x11 x4 x7 x7 x12))(∀ x12 . x0 x12not (x11 x6 x6 x4 x12))(∀ x12 . x0 x12not (x11 x6 x7 x4 x12))(∀ x12 . x0 x12not (x11 x2 x2 x12 x7))(∀ x12 . x0 x12not (x11 x2 x3 x12 x6))(∀ x12 . x0 x12not (x11 x6 x2 x12 x6))(∀ x12 . x0 x12not (x11 x6 x3 x12 x7))not (x11 x2 x2 x3 x4)not (x11 x2 x2 x4 x2)not (x11 x2 x2 x6 x3)not (x11 x2 x3 x6 x2)not (x11 x2 x4 x3 x2)not (x11 x2 x4 x4 x7)not (x11 x2 x5 x2 x7)not (x11 x2 x6 x3 x5)not (x11 x2 x6 x4 x3)not (x11 x2 x7 x3 x3)not (x11 x2 x7 x4 x5)not (x11 x2 x7 x6 x4)not (x11 x3 x2 x4 x4)not (x11 x3 x2 x4 x7)not (x11 x3 x2 x6 x5)not (x11 x3 x4 x4 x2)not (x11 x3 x4 x4 x7)not (x11 x3 x5 x6 x2)not (x11 x3 x6 x4 x7)not (x11 x3 x7 x4 x7)not (x11 x4 x2 x4 x7)not (x11 x4 x2 x6 x3)not (x11 x4 x3 x6 x2)not (x11 x4 x4 x4 x7)not (x11 x4 x6 x6 x4)not (x11 x4 x7 x6 x5)∀ x12 . x0 x12∀ x13 . x0 x13∀ x14 . x0 x14∀ x15 . x0 x15∀ x16 . x0 x16x11 x4 x7 x6 x12x11 x4 x7 x13 x14x11 x4 x7 x15 x16x11 x6 x12 x13 x14x11 x6 x12 x15 x16x11 x13 x14 x15 x16False
Known 3a626.. : ∀ x0 x1 : ι → ο . ∀ x2 x3 x4 x5 x6 x7 . (∀ x8 : ι → ο . x8 x2x8 x3x8 x4x8 x5x8 x6x8 x7∀ x9 . x0 x9x8 x9)x0 x2x0 x3x0 x4x0 x5x0 x6x0 x7x1 x2x1 x3x1 x4x1 x5∀ x8 x9 x10 : ι → ι . x8 x2 = x3x8 x3 = x2x8 x4 = x5x8 x5 = x4x9 x2 = x4x9 x3 = x5x9 x4 = x2x9 x5 = x3x10 x2 = x5x10 x3 = x4x10 x4 = x3x10 x5 = x2∀ x11 : ι → ι → ι → ι → ο . (∀ x12 x13 . x0 x12x0 x13not (x11 x12 x13 x12 x13))(∀ x12 x13 x14 x15 . x11 x12 x13 x14 x15x11 x14 x15 x12 x13)(∀ x12 x13 . x0 x12x0 x13not (x11 x12 x13 x7 x7))(∀ x12 x13 x14 x15 . x0 x12x1 x13x0 x14x1 x15not (x11 x12 x13 x14 x15)not (x11 x12 (x8 x13) x14 (x8 x15)))(∀ x12 x13 x14 x15 . x0 x12x1 x13x0 x14x1 x15not (x11 x12 x13 x14 x15)not (x11 x12 (x9 x13) x14 (x9 x15)))(∀ x12 x13 x14 x15 . x0 x12x1 x13x0 x14x1 x15not (x11 x12 x13 x14 x15)not (x11 x12 (x10 x13) x14 (x10 x15)))(∀ x12 . x0 x12not (x11 x4 x6 x5 x12))(∀ x12 . x0 x12not (x11 x4 x6 x7 x12))(∀ x12 . x0 x12not (x11 x4 x7 x5 x12))(∀ x12 . x0 x12not (x11 x4 x7 x7 x12))(∀ x12 . x0 x12not (x11 x5 x6 x6 x12))(∀ x12 . x0 x12not (x11 x5 x7 x6 x12))(∀ x12 . x0 x12not (x11 x6 x6 x2 x12))(∀ x12 . x0 x12not (x11 x6 x6 x4 x12))(∀ x12 . x0 x12not (x11 x6 x7 x2 x12))(∀ x12 . x0 x12not (x11 x6 x7 x4 x12))(∀ x12 . x0 x12not (x11 x7 x6 x7 x12))(∀ x12 . x0 x12not (x11 x2 x2 x12 x7))(∀ x12 . x0 x12not (x11 x2 x3 x12 x6))(∀ x12 . x0 x12not (x11 x5 x5 x12 x7))(∀ x12 . x0 x12not (x11 x6 x2 x12 x6))(∀ x12 . x0 x12not (x11 x6 x3 x12 x7))(∀ x12 . x0 x12not (x11 x6 x7 x12 x7))not (x11 x2 x2 x2 x3)not (x11 x2 x2 x3 x4)not (x11 x2 x2 x3 x5)not (x11 x2 x2 x4 x2)not (x11 x2 x2 x4 x3)not (x11 x2 x2 x5 x2)not (x11 x2 x2 x5 x5)not (x11 x2 x2 x6 x2)not (x11 x2 x2 x6 x3)not (x11 x2 x2 x7 x3)not (x11 x2 x2 x7 x6)not (x11 x2 x3 x4 x2)not (x11 x2 x3 x6 x2)not (x11 x2 x3 x7 x2)not (x11 x2 x4 x2 x6)not (x11 x2 x4 x3 x2)not (x11 x2 x4 x3 x7)not (x11 x2 x4 x4 x7)not (x11 x2 x4 x5 x6)not (x11 x2 x4 x7 x6)not (x11 x2 x5 x2 x7)not (x11 x2 x5 x3 x2)not (x11 x2 x5 x3 x6)not (x11 x2 x5 x4 x6)not (x11 x2 x5 x5 x2)not (x11 x2 x5 x5 x7)not (x11 x2 x5 x7 x6)not (x11 x2 x6 x3 x2)not (x11 x2 x6 x3 x5)not (x11 x2 x6 x3 x6)not (x11 x2 x6 x3 x7)not (x11 x2 x6 x4 x3)not (x11 x2 x6 x4 x4)not (x11 x2 x6 x5 x3)not (x11 x2 x6 x5 x4)not (x11 x2 x6 x6 x5)not (x11 x2 x6 x7 x2)not (x11 x2 x6 x7 x5)not (x11 x2 x7 x3 x3)not (x11 x2 x7 x3 x4)not (x11 x2 x7 x3 x6)not (x11 x2 x7 x3 x7)not (x11 x2 x7 x4 x2)not (x11 x2 x7 x4 x5)not (x11 x2 x7 x5 x2)not (x11 x2 x7 x6 x4)not (x11 x2 x7 x7 x3)not (x11 x2 x7 x7 x4)not (x11 x3 x2 x3 x3)not (x11 x3 x2 x3 x5)not (x11 x3 x2 x3 x6)not (x11 x3 x2 x4 x3)not (x11 x3 x2 x4 x4)not (x11 x3 x2 x4 x5)not (x11 x3 x2 x4 x7)not (x11 x3 x2 x5 x2)not (x11 x3 x2 x5 x7)not (x11 x3 x2 x6 x2)not (x11 x3 x2 x6 x5)not (x11 x3 x2 x6 x6)not (x11 x3 x2 x7 x2)not (x11 x3 x2 x7 x4)not (x11 x3 x2 x7 x5)not (x11 x3 x2 x7 x6)not (x11 x3 x3 x3 x7)not (x11 x3 x3 x4 x2)not (x11 x3 x3 x4 x6)not (x11 x3 x3 x5 x6)not (x11 x3 x3 x6 x7)not (x11 x3 x3 x7 x6)not (x11 x3 x4 x3 x6)not (x11 x3 x4 x4 x2)not (x11 x3 x4 x4 x7)not (x11 x3 x4 x5 x6)not (x11 x3 x4 x6 x6)not (x11 x3 x4 x7 x2)not (x11 x3 x4 x7 x6)not (x11 x3 x5 x3 x7)not (x11 x3 x5 x4 x2)not (x11 x3 x5 x4 x6)not (x11 x3 x5 x5 x7)not (x11 x3 x5 x6 x2)not (x11 x3 x5 x6 x7)not (x11 x3 x5 x7 x2)not (x11 x3 x5 x7 x6)not (x11 x3 x6 x4 x2)not (x11 x3 x6 x4 x4)not (x11 x3 x6 x4 x6)not (x11 x3 x6 x4 x7)not (x11 x3 x6 x5 x2)not (x11 x3 x6 x5 x3)not (x11 x3 x6 x5 x4)not (x11 x3 x6 x5 x5)not (x11 x3 x6 x6 x3)not (x11 x3 x6 x6 x4)not (x11 x3 x6 x6 x5)not (x11 x3 x6 x6 x6)not (x11 x3 x6 x7 x2)not (x11 x3 x6 x7 x4)not (x11 x3 x7 x4 x3)not (x11 x3 x7 x4 x5)not (x11 x3 x7 x4 x6)not (x11 x3 x7 x4 x7)not (x11 x3 x7 x5 x2)not (x11 x3 x7 x5 x3)not (x11 x3 x7 x5 x4)not (x11 x3 x7 x6 x2)not (x11 x3 x7 x6 x4)not (x11 x3 x7 x6 x5)not (x11 x3 x7 x7 x3)not (x11 x3 x7 x7 x5)not (x11 x4 x2 x4 x4)not (x11 x4 x2 x5 x5)not (x11 x4 x2 x5 x6)not (x11 x4 x2 x6 x3)not (x11 x4 x2 x7 x2)not (x11 x4 x2 x7 x3)not (x11 x4 x3 x5 x7)not (x11 x4 x3 x6 x2)not (x11 x4 x3 x7 x2)not (x11 x4 x4 x5 x7)not (x11 x4 x5 x5 x2)not (x11 x4 x5 x5 x6)not (x11 x4 x6 x6 x4)not (x11 x4 x7 x6 x5)not (x11 x5 x2 x5 x4)not (x11 x5 x2 x5 x5)not (x11 x5 x2 x5 x7)not (x11 x5 x2 x6 x2)not (x11 x5 x2 x6 x3)not (x11 x5 x2 x6 x5)not (x11 x5 x2 x6 x6)not (x11 x5 x2 x7 x4)not (x11 x5 x2 x7 x5)not (x11 x5 x3 x5 x6)not (x11 x5 x3 x6 x2)not (x11 x5 x3 x6 x7)not (x11 x5 x4 x5 x6)not (x11 x5 x4 x6 x6)not (x11 x5 x4 x7 x2)not (x11 x5 x5 x6 x2)not (x11 x5 x5 x7 x2)not (x11 x5 x6 x5 x7)not (x11 x5 x6 x7 x2)not (x11 x5 x6 x7 x5)not (x11 x5 x6 x7 x6)not (x11 x5 x7 x7 x3)not (x11 x5 x7 x7 x4)not (x11 x5 x7 x7 x6)not (x11 x6 x2 x7 x5)not (x11 x6 x4 x6 x6)not (x11 x6 x5 x6 x7)not (x11 x6 x5 x7 x2)not (x11 x7 x2 x7 x4)∀ x12 . x0 x12∀ x13 . x0 x13∀ x14 . x0 x14∀ x15 . x0 x15∀ x16 . x0 x16∀ x17 . x0 x17∀ x18 . x0 x18x11 x3 x12 x13 x14x11 x3 x12 x15 x16x11 x3 x12 x17 x18x11 x13 x14 x15 x16x11 x13 x14 x17 x18x11 x15 x16 x17 x18False
Known f1f7a.. : ∀ x0 x1 : ι → ο . ∀ x2 x3 x4 x5 x6 x7 . (∀ x8 : ι → ο . x8 x2x8 x3x8 x4x8 x5x8 x6x8 x7∀ x9 . x0 x9x8 x9)x0 x2x0 x3x0 x4x0 x5x0 x6x0 x7x1 x2x1 x3x1 x4x1 x5∀ x8 x9 x10 : ι → ι . x8 x2 = x3x8 x3 = x2x8 x4 = x5x8 x5 = x4x9 x2 = x4x9 x3 = x5x9 x4 = x2x9 x5 = x3x10 x2 = x5x10 x3 = x4x10 x4 = x3x10 x5 = x2∀ x11 : ι → ι → ι → ι → ο . (∀ x12 x13 . x0 x12x0 x13not (x11 x12 x13 x12 x13))(∀ x12 x13 x14 x15 . x11 x12 x13 x14 x15x11 x14 x15 x12 x13)(∀ x12 x13 . x0 x12x0 x13not (x11 x12 x13 x7 x7))(∀ x12 x13 x14 x15 . x0 x12x1 x13x0 x14x1 x15not (x11 x12 x13 x14 x15)not (x11 x12 (x8 x13) x14 (x8 x15)))(∀ x12 x13 x14 x15 . x0 x12x1 x13x0 x14x1 x15not (x11 x12 x13 x14 x15)not (x11 x12 (x9 x13) x14 (x9 x15)))(∀ x12 x13 x14 x15 . x0 x12x1 x13x0 x14x1 x15not (x11 x12 x13 x14 x15)not (x11 x12 (x10 x13) x14 (x10 x15)))(∀ x12 . x0 x12not (x11 x4 x6 x5 x12))(∀ x12 . x0 x12not (x11 x4 x7 x5 x12))(∀ x12 . x0 x12not (x11 x5 x6 x6 x12))(∀ x12 . x0 x12not (x11 x5 x7 x6 x12))(∀ x12 . x0 x12not (x11 x6 x6 x2 x12))(∀ x12 . x0 x12not (x11 x6 x6 x4 x12))(∀ x12 . x0 x12not (x11 x6 x7 x2 x12))(∀ x12 . x0 x12not (x11 x6 x7 x4 x12))(∀ x12 . x0 x12not (x11 x7 x6 x7 x12))(∀ x12 . x0 x12not (x11 x2 x2 x12 x7))(∀ x12 . x0 x12not (x11 x2 x3 x12 x6))(∀ x12 . x0 x12not (x11 x5 x5 x12 x7))(∀ x12 . x0 x12not (x11 x6 x2 x12 x6))(∀ x12 . x0 x12not (x11 x6 x7 x12 x7))not (x11 x2 x2 x2 x5)not (x11 x2 x2 x3 x4)not (x11 x2 x2 x3 x5)not (x11 x2 x2 x4 x2)not (x11 x2 x2 x4 x3)not (x11 x2 x2 x5 x2)not (x11 x2 x2 x5 x5)not (x11 x2 x2 x6 x2)not (x11 x2 x2 x7 x3)not (x11 x2 x2 x7 x6)not (x11 x2 x3 x4 x2)not (x11 x2 x3 x7 x2)not (x11 x2 x4 x2 x6)not (x11 x2 x4 x3 x2)not (x11 x2 x4 x3 x7)not (x11 x2 x4 x5 x6)not (x11 x2 x4 x7 x6)not (x11 x2 x5 x2 x7)not (x11 x2 x5 x3 x2)not (x11 x2 x5 x3 x6)not (x11 x2 x5 x5 x2)not (x11 x2 x5 x5 x7)not (x11 x2 x5 x7 x6)not (x11 x2 x6 x2 x7)not (x11 x2 x6 x3 x2)not (x11 x2 x6 x3 x5)not (x11 x2 x6 x3 x6)not (x11 x2 x6 x3 x7)not (x11 x2 x6 x4 x3)not (x11 x2 x6 x4 x4)not (x11 x2 x6 x5 x3)not (x11 x2 x6 x5 x4)not (x11 x2 x6 x7 x2)not (x11 x2 x6 x7 x3)not (x11 x2 x6 x7 x4)not (x11 x2 x6 x7 x5)not (x11 x2 x7 x3 x3)not (x11 x2 x7 x3 x4)not (x11 x2 x7 x3 x6)not (x11 x2 x7 x3 x7)not (x11 x2 x7 x4 x2)not (x11 x2 x7 x4 x5)not (x11 x2 x7 x5 x2)not (x11 x2 x7 x7 x2)not (x11 x2 x7 x7 x3)not (x11 x2 x7 x7 x4)not (x11 x2 x7 x7 x5)not (x11 x3 x2 x3 x3)not (x11 x3 x2 x3 x5)not (x11 x3 x2 x3 x6)not (x11 x3 x2 x4 x3)not (x11 x3 x2 x4 x4)not (x11 x3 x2 x4 x5)not (x11 x3 x2 x5 x2)not (x11 x3 x2 x5 x7)not (x11 x3 x2 x6 x2)not (x11 x3 x2 x6 x5)not (x11 x3 x2 x6 x6)not (x11 x3 x2 x7 x2)not (x11 x3 x2 x7 x4)not (x11 x3 x2 x7 x5)not (x11 x3 x2 x7 x6)not (x11 x3 x3 x3 x7)not (x11 x3 x3 x4 x2)not (x11 x3 x3 x5 x6)not (x11 x3 x3 x6 x7)not (x11 x3 x3 x7 x6)not (x11 x3 x4 x3 x6)not (x11 x3 x4 x4 x2)not (x11 x3 x4 x5 x6)not (x11 x3 x4 x6 x6)not (x11 x3 x4 x7 x2)not (x11 x3 x4 x7 x6)not (x11 x3 x5 x3 x7)not (x11 x3 x5 x4 x2)not (x11 x3 x5 x5 x7)not (x11 x3 x5 x6 x2)not (x11 x3 x5 x6 x7)not (x11 x3 x5 x7 x2)not (x11 x3 x5 x7 x6)not (x11 x3 x6 x4 x2)not (x11 x3 x6 x4 x4)not (x11 x3 x6 x5 x2)not (x11 x3 x6 x5 x3)not (x11 x3 x6 x5 x4)not (x11 x3 x6 x5 x5)not (x11 x3 x6 x7 x2)not (x11 x3 x6 x7 x4)not (x11 x3 x7 x4 x3)not (x11 x3 x7 x4 x5)not (x11 x3 x7 x5 x2)not (x11 x3 x7 x5 x3)not (x11 x3 x7 x5 x4)not (x11 x3 x7 x7 x3)not (x11 x3 x7 x7 x5)not (x11 x4 x2 x4 x5)not (x11 x4 x2 x5 x2)not (x11 x4 x2 x5 x5)not (x11 x4 x2 x5 x6)not (x11 x4 x2 x6 x2)not (x11 x4 x2 x7 x2)not (x11 x4 x2 x7 x3)not (x11 x4 x2 x7 x5)not (x11 x4 x3 x5 x7)not (x11 x4 x3 x7 x2)not (x11 x4 x4 x5 x7)not (x11 x4 x5 x5 x2)not (x11 x4 x5 x5 x6)not (x11 x4 x5 x7 x2)not (x11 x5 x2 x5 x4)not (x11 x5 x2 x5 x5)not (x11 x5 x2 x5 x7)not (x11 x5 x2 x6 x2)not (x11 x5 x2 x6 x3)not (x11 x5 x2 x6 x5)not (x11 x5 x2 x6 x6)not (x11 x5 x2 x7 x4)not (x11 x5 x2 x7 x5)not (x11 x5 x3 x5 x6)not (x11 x5 x3 x6 x2)not (x11 x5 x3 x6 x7)not (x11 x5 x4 x5 x6)not (x11 x5 x4 x6 x6)not (x11 x5 x4 x7 x2)not (x11 x5 x5 x6 x2)not (x11 x5 x5 x7 x2)not (x11 x5 x6 x5 x7)not (x11 x5 x6 x7 x2)not (x11 x5 x6 x7 x5)not (x11 x5 x6 x7 x6)not (x11 x5 x7 x7 x3)not (x11 x5 x7 x7 x4)not (x11 x5 x7 x7 x6)not (x11 x6 x2 x7 x4)not (x11 x6 x2 x7 x5)not (x11 x6 x3 x7 x6)not (x11 x6 x4 x7 x2)not (x11 x6 x4 x7 x6)not (x11 x6 x5 x7 x2)not (x11 x6 x5 x7 x6)not (x11 x7 x2 x7 x3)∀ x12 . x0 x12∀ x13 . x0 x13∀ x14 . x0 x14∀ x15 . x0 x15∀ x16 . x0 x16∀ x17 . x0 x17∀ x18 . x0 x18x11 x5 x12 x13 x14x11 x5 x12 x15 x16x11 x5 x12 x17 x18x11 x13 x14 x15 x16x11 x13 x14 x17 x18x11 x15 x16 x17 x18False
Known 47abe.. : ∀ x0 x1 : ι → ο . ∀ x2 x3 x4 x5 x6 x7 . (∀ x8 : ι → ο . x8 x2x8 x3x8 x4x8 x5x8 x6x8 x7∀ x9 . x0 x9x8 x9)x0 x2x0 x3x0 x4x0 x5x0 x6x0 x7x1 x2x1 x3x1 x4x1 x5∀ x8 x9 x10 : ι → ι . x8 x2 = x3x8 x3 = x2x8 x4 = x5x8 x5 = x4x9 x2 = x4x9 x3 = x5x9 x4 = x2x9 x5 = x3x10 x2 = x5x10 x3 = x4x10 x4 = x3x10 x5 = x2∀ x11 : ι → ι → ι → ι → ο . (∀ x12 x13 . x0 x12x0 x13not (x11 x12 x13 x12 x13))(∀ x12 x13 x14 x15 . x11 x12 x13 x14 x15x11 x14 x15 x12 x13)(∀ x12 x13 . x0 x12x0 x13not (x11 x12 x13 x7 x7))(∀ x12 x13 x14 x15 . x0 x12x1 x13x0 x14x1 x15not (x11 x12 x13 x14 x15)not (x11 x12 (x8 x13) x14 (x8 x15)))(∀ x12 x13 x14 x15 . x0 x12x1 x13x0 x14x1 x15not (x11 x12 x13 x14 x15)not (x11 x12 (x9 x13) x14 (x9 x15)))(∀ x12 x13 x14 x15 . x0 x12x1 x13x0 x14x1 x15not (x11 x12 x13 x14 x15)not (x11 x12 (x10 x13) x14 (x10 x15)))(∀ x12 . x0 x12not (x11 x4 x6 x5 x12))(∀ x12 . x0 x12not (x11 x4 x6 x7 x12))(∀ x12 . x0 x12not (x11 x4 x7 x5 x12))(∀ x12 . x0 x12not (x11 x4 x7 x7 x12))(∀ x12 . x0 x12not (x11 x5 x6 x6 x12))(∀ x12 . x0 x12not (x11 x5 x7 x6 x12))(∀ x12 . x0 x12not (x11 x6 x6 x2 x12))(∀ x12 . x0 x12not (x11 x6 x6 x4 x12))(∀ x12 . x0 x12not (x11 x6 x7 x2 x12))(∀ x12 . x0 x12not (x11 x6 x7 x4 x12))(∀ x12 . x0 x12not (x11 x7 x6 x7 x12))(∀ x12 . x0 x12not (x11 x2 x2 x12 x7))(∀ x12 . x0 x12not (x11 x2 x3 x12 x6))(∀ x12 . x0 x12not (x11 x5 x5 x12 x7))(∀ x12 . x0 x12not (x11 x6 x2 x12 x6))(∀ x12 . x0 x12not (x11 x6 x3 x12 x7))(∀ x12 . x0 x12not (x11 x6 x7 x12 x7))not (x11 x2 x2 x2 x3)not (x11 x2 x2 x3 x4)not (x11 x2 x2 x3 x5)not (x11 x2 x2 x4 x2)not (x11 x2 x2 x4 x3)not (x11 x2 x2 x5 x2)not (x11 x2 x2 x6 x2)not (x11 x2 x2 x6 x3)not (x11 x2 x3 x4 x2)not (x11 x2 x3 x6 x2)not (x11 x2 x4 x2 x6)not (x11 x2 x4 x3 x2)not (x11 x2 x4 x4 x7)not (x11 x2 x5 x2 x7)not (x11 x2 x5 x3 x2)not (x11 x2 x5 x4 x6)not (x11 x2 x6 x3 x2)not (x11 x2 x6 x3 x5)not (x11 x2 x6 x4 x3)not (x11 x2 x6 x4 x4)not (x11 x2 x6 x6 x5)not (x11 x2 x6 x7 x2)not (x11 x2 x6 x7 x3)not (x11 x2 x6 x7 x4)not (x11 x2 x6 x7 x5)not (x11 x2 x7 x3 x3)not (x11 x2 x7 x3 x4)not (x11 x2 x7 x4 x2)not (x11 x2 x7 x4 x5)not (x11 x2 x7 x6 x4)not (x11 x2 x7 x7 x2)not (x11 x2 x7 x7 x3)not (x11 x2 x7 x7 x4)not (x11 x2 x7 x7 x5)not (x11 x3 x2 x3 x5)not (x11 x3 x2 x3 x6)not (x11 x3 x2 x4 x3)not (x11 x3 x2 x4 x4)not (x11 x3 x2 x4 x5)not (x11 x3 x2 x4 x7)not (x11 x3 x2 x5 x2)not (x11 x3 x2 x6 x2)not (x11 x3 x2 x6 x5)not (x11 x3 x2 x6 x6)not (x11 x3 x2 x7 x2)not (x11 x3 x2 x7 x4)not (x11 x3 x2 x7 x5)not (x11 x3 x2 x7 x6)not (x11 x3 x3 x3 x7)not (x11 x3 x3 x4 x2)not (x11 x3 x3 x4 x6)not (x11 x3 x3 x6 x7)not (x11 x3 x3 x7 x6)not (x11 x3 x4 x3 x6)not (x11 x3 x4 x4 x2)not (x11 x3 x4 x4 x7)not (x11 x3 x4 x6 x6)not (x11 x3 x4 x7 x2)not (x11 x3 x4 x7 x6)not (x11 x3 x5 x3 x7)not (x11 x3 x5 x4 x2)not (x11 x3 x5 x4 x6)not (x11 x3 x5 x6 x2)not (x11 x3 x5 x6 x7)not (x11 x3 x5 x7 x2)not (x11 x3 x5 x7 x6)not (x11 x3 x6 x5 x2)not (x11 x3 x6 x5 x4)not (x11 x3 x6 x6 x3)not (x11 x3 x6 x6 x4)not (x11 x3 x6 x6 x5)not (x11 x3 x6 x6 x6)not (x11 x3 x6 x7 x2)not (x11 x3 x6 x7 x4)not (x11 x3 x7 x5 x3)not (x11 x3 x7 x6 x2)not (x11 x3 x7 x6 x4)not (x11 x3 x7 x6 x5)not (x11 x3 x7 x7 x3)not (x11 x3 x7 x7 x5)not (x11 x4 x2 x4 x7)not (x11 x4 x2 x5 x2)not (x11 x4 x2 x6 x2)not (x11 x4 x2 x6 x3)not (x11 x4 x2 x7 x5)not (x11 x4 x3 x4 x6)not (x11 x4 x3 x6 x2)not (x11 x4 x4 x4 x7)not (x11 x4 x5 x4 x6)not (x11 x4 x5 x7 x2)not (x11 x4 x6 x6 x4)not (x11 x4 x7 x6 x5)not (x11 x5 x2 x5 x4)not (x11 x5 x2 x6 x2)not (x11 x5 x2 x6 x3)not (x11 x5 x2 x6 x5)not (x11 x5 x2 x6 x6)not (x11 x5 x2 x7 x4)not (x11 x5 x2 x7 x5)not (x11 x5 x3 x6 x2)not (x11 x5 x3 x6 x7)not (x11 x5 x4 x6 x6)not (x11 x5 x4 x7 x2)not (x11 x5 x5 x6 x2)not (x11 x5 x5 x7 x2)not (x11 x6 x2 x6 x3)not (x11 x6 x2 x7 x4)not (x11 x6 x2 x7 x5)not (x11 x6 x3 x7 x6)not (x11 x6 x4 x6 x6)not (x11 x6 x4 x7 x2)not (x11 x6 x4 x7 x6)not (x11 x6 x5 x6 x7)not (x11 x6 x5 x7 x2)not (x11 x6 x5 x7 x6)not (x11 x6 x6 x6 x7)not (x11 x7 x2 x7 x3)not (x11 x7 x2 x7 x4)∀ x12 . x0 x12∀ x13 . x0 x13∀ x14 . x0 x14∀ x15 . x0 x15∀ x16 . x0 x16∀ x17 . x0 x17∀ x18 . x0 x18x11 x6 x12 x13 x14x11 x6 x12 x15 x16x11 x6 x12 x17 x18x11 x13 x14 x15 x16x11 x13 x14 x17 x18x11 x15 x16 x17 x18False
Known af47a.. : ∀ x0 x1 : ι → ο . ∀ x2 x3 x4 x5 x6 x7 . (∀ x8 : ι → ο . x8 x2x8 x3x8 x4x8 x5x8 x6x8 x7∀ x9 . x0 x9x8 x9)x0 x2x0 x3x0 x4x0 x5x0 x6x0 x7x1 x2x1 x3x1 x4x1 x5∀ x8 x9 x10 : ι → ι . x8 x2 = x3x8 x3 = x2x8 x4 = x5x8 x5 = x4x9 x2 = x4x9 x3 = x5x9 x4 = x2x9 x5 = x3x10 x2 = x5x10 x3 = x4x10 x4 = x3x10 x5 = x2∀ x11 : ι → ι → ι → ι → ο . (∀ x12 x13 . x0 x12x0 x13not (x11 x12 x13 x12 x13))(∀ x12 x13 x14 x15 . x11 x12 x13 x14 x15x11 x14 x15 x12 x13)(∀ x12 x13 . x0 x12x0 x13not (x11 x12 x13 x7 x7))(∀ x12 x13 x14 x15 . x0 x12x1 x13x0 x14x1 x15not (x11 x12 x13 x14 x15)not (x11 x12 (x8 x13) x14 (x8 x15)))(∀ x12 x13 x14 x15 . x0 x12x1 x13x0 x14x1 x15not (x11 x12 x13 x14 x15)not (x11 x12 (x9 x13) x14 (x9 x15)))(∀ x12 x13 x14 x15 . x0 x12x1 x13x0 x14x1 x15not (x11 x12 x13 x14 x15)not (x11 x12 (x10 x13) x14 (x10 x15)))(∀ x12 . x0 x12not (x11 x4 x6 x7 x12))(∀ x12 . x0 x12not (x11 x4 x7 x7 x12))(∀ x12 . x0 x12not (x11 x5 x6 x6 x12))(∀ x12 . x0 x12not (x11 x5 x7 x6 x12))(∀ x12 . x0 x12not (x11 x6 x6 x2 x12))(∀ x12 . x0 x12not (x11 x6 x6 x4 x12))(∀ x12 . x0 x12not (x11 x6 x7 x2 x12))(∀ x12 . x0 x12not (x11 x6 x7 x4 x12))(∀ x12 . x0 x12not (x11 x7 x6 x7 x12))(∀ x12 . x0 x12not (x11 x2 x2 x12 x7))(∀ x12 . x0 x12not (x11 x2 x3 x12 x6))(∀ x12 . x0 x12not (x11 x5 x5 x12 x7))(∀ x12 . x0 x12not (x11 x6 x2 x12 x6))(∀ x12 . x0 x12not (x11 x6 x3 x12 x7))(∀ x12 . x0 x12not (x11 x6 x7 x12 x7))not (x11 x2 x2 x2 x3)not (x11 x2 x2 x2 x5)not (x11 x2 x2 x3 x4)not (x11 x2 x2 x3 x5)not (x11 x2 x2 x4 x2)not (x11 x2 x2 x4 x3)not (x11 x2 x2 x5 x2)not (x11 x2 x2 x5 x5)not (x11 x2 x2 x6 x2)not (x11 x2 x2 x6 x3)not (x11 x2 x2 x7 x3)not (x11 x2 x2 x7 x6)not (x11 x2 x3 x4 x2)not (x11 x2 x3 x6 x2)not (x11 x2 x3 x7 x2)not (x11 x2 x4 x3 x2)not (x11 x2 x4 x3 x7)not (x11 x2 x4 x5 x6)not (x11 x2 x4 x7 x6)not (x11 x2 x5 x3 x2)not (x11 x2 x5 x3 x6)not (x11 x2 x5 x5 x2)not (x11 x2 x5 x5 x7)not (x11 x2 x5 x7 x6)not (x11 x2 x6 x2 x7)not (x11 x2 x6 x3 x6)not (x11 x2 x6 x3 x7)not (x11 x2 x6 x4 x3)not (x11 x2 x6 x4 x4)not (x11 x2 x6 x5 x3)not (x11 x2 x6 x5 x4)not (x11 x2 x6 x7 x2)not (x11 x2 x6 x7 x3)not (x11 x2 x6 x7 x4)not (x11 x2 x6 x7 x5)not (x11 x2 x7 x3 x6)not (x11 x2 x7 x3 x7)not (x11 x2 x7 x4 x2)not (x11 x2 x7 x4 x5)not (x11 x2 x7 x5 x2)not (x11 x2 x7 x7 x2)not (x11 x2 x7 x7 x3)not (x11 x2 x7 x7 x4)not (x11 x2 x7 x7 x5)not (x11 x3 x2 x3 x6)not (x11 x3 x2 x4 x5)not (x11 x3 x2 x5 x2)not (x11 x3 x2 x6 x2)not (x11 x3 x2 x6 x6)not (x11 x3 x2 x7 x2)not (x11 x3 x2 x7 x4)not (x11 x3 x2 x7 x5)not (x11 x3 x2 x7 x6)not (x11 x3 x3 x3 x7)not (x11 x3 x3 x6 x7)not (x11 x3 x3 x7 x6)not (x11 x3 x4 x3 x6)not (x11 x3 x4 x6 x6)not (x11 x3 x4 x7 x2)not (x11 x3 x4 x7 x6)not (x11 x3 x5 x3 x7)not (x11 x3 x5 x4 x2)not (x11 x3 x5 x6 x7)not (x11 x3 x5 x7 x2)not (x11 x3 x5 x7 x6)not (x11 x3 x6 x4 x2)not (x11 x3 x6 x4 x4)not (x11 x3 x6 x5 x2)not (x11 x3 x6 x5 x3)not (x11 x3 x6 x5 x4)not (x11 x3 x6 x5 x5)not (x11 x3 x6 x6 x3)not (x11 x3 x6 x6 x4)not (x11 x3 x6 x6 x5)not (x11 x3 x6 x6 x6)not (x11 x3 x6 x7 x2)not (x11 x3 x6 x7 x4)not (x11 x3 x7 x4 x3)not (x11 x3 x7 x4 x5)not (x11 x3 x7 x5 x2)not (x11 x3 x7 x5 x3)not (x11 x3 x7 x5 x4)not (x11 x3 x7 x6 x2)not (x11 x3 x7 x6 x4)not (x11 x3 x7 x6 x5)not (x11 x3 x7 x7 x3)not (x11 x3 x7 x7 x5)not (x11 x4 x2 x4 x4)not (x11 x4 x2 x4 x5)not (x11 x4 x2 x5 x2)not (x11 x4 x2 x5 x5)not (x11 x4 x2 x5 x6)not (x11 x4 x2 x7 x2)not (x11 x4 x2 x7 x3)not (x11 x4 x2 x7 x5)not (x11 x4 x3 x5 x7)not (x11 x4 x3 x7 x2)not (x11 x4 x4 x5 x7)not (x11 x4 x5 x5 x2)not (x11 x4 x5 x5 x6)not (x11 x4 x5 x7 x2)not (x11 x5 x2 x5 x4)not (x11 x5 x2 x5 x5)not (x11 x5 x2 x5 x7)not (x11 x5 x2 x6 x2)not (x11 x5 x2 x6 x3)not (x11 x5 x2 x6 x6)not (x11 x5 x2 x7 x4)not (x11 x5 x2 x7 x5)not (x11 x5 x3 x5 x6)not (x11 x5 x3 x6 x2)not (x11 x5 x3 x6 x7)not (x11 x5 x4 x5 x6)not (x11 x5 x4 x6 x6)not (x11 x5 x4 x7 x2)not (x11 x5 x5 x7 x2)not (x11 x5 x6 x7 x2)not (x11 x5 x6 x7 x5)not (x11 x5 x6 x7 x6)not (x11 x5 x7 x7 x3)not (x11 x5 x7 x7 x4)not (x11 x5 x7 x7 x6)not (x11 x6 x2 x6 x3)not (x11 x6 x2 x7 x4)not (x11 x6 x2 x7 x5)not (x11 x6 x3 x7 x6)not (x11 x6 x4 x6 x6)not (x11 x6 x4 x7 x2)not (x11 x6 x4 x7 x6)not (x11 x6 x5 x6 x7)not (x11 x6 x5 x7 x2)not (x11 x6 x5 x7 x6)not (x11 x6 x6 x6 x7)not (x11 x7 x2 x7 x3)not (x11 x7 x2 x7 x4)∀ x12 . x0 x12∀ x13 . x0 x13∀ x14 . x0 x14∀ x15 . x0 x15∀ x16 . x0 x16∀ x17 . x0 x17∀ x18 . x0 x18x11 x7 x12 x13 x14x11 x7 x12 x15 x16x11 x7 x12 x17 x18x11 x13 x14 x15 x16x11 x13 x14 x17 x18x11 x15 x16 x17 x18False
Known FalseEFalseE : False∀ x0 : ο . x0
Theorem 0e1c2.. : ∀ x0 x1 : ι → ο . ∀ x2 x3 x4 x5 x6 x7 . (∀ x8 : ι → ο . x8 x2x8 x3x8 x4x8 x5x8 x6x8 x7∀ x9 . x0 x9x8 x9)x0 x2x0 x3x0 x4x0 x5x0 x6x0 x7x1 x2x1 x3x1 x4x1 x5∀ x8 x9 x10 : ι → ι . x8 x2 = x3x8 x3 = x2x8 x4 = x5x8 x5 = x4x9 x2 = x4x9 x3 = x5x9 x4 = x2x9 x5 = x3x10 x2 = x5x10 x3 = x4x10 x4 = x3x10 x5 = x2∀ x11 : ι → ι → ι → ι → ο . (∀ x12 x13 . x0 x12x0 x13not (x11 x12 x13 x12 x13))(∀ x12 x13 x14 x15 . x11 x12 x13 x14 x15x11 x14 x15 x12 x13)(∀ x12 x13 . x0 x12x0 x13not (x11 x12 x13 x7 x7))(∀ x12 x13 x14 x15 . x0 x12x1 x13x0 x14x1 x15not (x11 x12 x13 x14 x15)not (x11 x12 (x8 x13) x14 (x8 x15)))(∀ x12 x13 x14 x15 . x0 x12x1 x13x0 x14x1 x15not (x11 x12 x13 x14 x15)not (x11 x12 (x9 x13) x14 (x9 x15)))(∀ x12 x13 x14 x15 . x0 x12x1 x13x0 x14x1 x15not (x11 x12 x13 x14 x15)not (x11 x12 (x10 x13) x14 (x10 x15)))(∀ x12 . x0 x12not (x11 x4 x6 x5 x12))(∀ x12 . x0 x12not (x11 x4 x6 x7 x12))(∀ x12 . x0 x12not (x11 x4 x7 x5 x12))(∀ x12 . x0 x12not (x11 x4 x7 x7 x12))(∀ x12 . x0 x12not (x11 x5 x6 x6 x12))(∀ x12 . x0 x12not (x11 x5 x7 x6 x12))(∀ x12 . x0 x12not (x11 x6 x6 x2 x12))(∀ x12 . x0 x12not (x11 x6 x6 x4 x12))(∀ x12 . x0 x12not (x11 x6 x7 x2 x12))(∀ x12 . x0 x12not (x11 x6 x7 x4 x12))(∀ x12 . x0 x12not (x11 x7 x6 x7 x12))(∀ x12 . x0 x12not (x11 x2 x2 x12 x7))(∀ x12 . x0 x12not (x11 x2 x3 x12 x6))(∀ x12 . x0 x12not (x11 x5 x5 x12 x7))(∀ x12 . x0 x12not (x11 x6 x2 x12 x6))(∀ x12 . x0 x12not (x11 x6 x3 x12 x7))(∀ x12 . x0 x12not (x11 x6 x7 x12 x7))not (x11 x2 x2 x2 x3)not (x11 x2 x2 x2 x5)not (x11 x2 x2 x3 x4)not (x11 x2 x2 x3 x5)not (x11 x2 x2 x4 x2)not (x11 x2 x2 x4 x3)not (x11 x2 x2 x5 x2)not (x11 x2 x2 x5 x5)not (x11 x2 x2 x6 x2)not (x11 x2 x2 x6 x3)not (x11 x2 x2 x7 x3)not (x11 x2 x2 x7 x6)not (x11 x2 x3 x4 x2)not (x11 x2 x3 x6 x2)not (x11 x2 x3 x7 x2)not (x11 x2 x4 x2 x6)not (x11 x2 x4 x3 x2)not (x11 x2 x4 x3 x7)not (x11 x2 x4 x4 x7)not (x11 x2 x4 x5 x6)not (x11 x2 x4 x7 x6)not (x11 x2 x5 x2 x7)not (x11 x2 x5 x3 x2)not (x11 x2 x5 x3 x6)not (x11 x2 x5 x4 x6)not (x11 x2 x5 x5 x2)not (x11 x2 x5 x5 x7)not (x11 x2 x5 x7 x6)not (x11 x2 x6 x2 x7)not (x11 x2 x6 x3 x2)not (x11 x2 x6 x3 x5)not (x11 x2 x6 x3 x6)not (x11 x2 x6 x3 x7)not (x11 x2 x6 x4 x3)not (x11 x2 x6 x4 x4)not (x11 x2 x6 x5 x3)not (x11 x2 x6 x5 x4)not (x11 x2 x6 x6 x5)not (x11 x2 x6 x7 x2)not (x11 x2 x6 x7 x3)not (x11 x2 x6 x7 x4)not (x11 x2 x6 x7 x5)not (x11 x2 x7 x3 x3)not (x11 x2 x7 x3 x4)not (x11 x2 x7 x3 x6)not (x11 x2 x7 x3 x7)not (x11 x2 x7 x4 x2)not (x11 x2 x7 x4 x5)not (x11 x2 x7 x5 x2)not (x11 x2 x7 x6 x4)not (x11 x2 x7 x7 x2)not (x11 x2 x7 x7 x3)not (x11 x2 x7 x7 x4)not (x11 x2 x7 x7 x5)not (x11 x3 x2 x3 x3)not (x11 x3 x2 x3 x5)not (x11 x3 x2 x3 x6)not (x11 x3 x2 x4 x3)not (x11 x3 x2 x4 x4)not (x11 x3 x2 x4 x5)not (x11 x3 x2 x4 x7)not (x11 x3 x2 x5 x2)not (x11 x3 x2 x5 x7)not (x11 x3 x2 x6 x2)not (x11 x3 x2 x6 x5)not (x11 x3 x2 x6 x6)not (x11 x3 x2 x7 x2)not (x11 x3 x2 x7 x4)not (x11 x3 x2 x7 x5)not (x11 x3 x2 x7 x6)not (x11 x3 x3 x3 x7)not (x11 x3 x3 x4 x2)not (x11 x3 x3 x4 x6)not (x11 x3 x3 x5 x6)not (x11 x3 x3 x6 x7)not (x11 x3 x3 x7 x6)not (x11 x3 x4 x3 x6)not (x11 x3 x4 x4 x2)not (x11 x3 x4 x4 x7)not (x11 x3 x4 x5 x6)not (x11 x3 x4 x6 x6)not (x11 x3 x4 x7 x2)not (x11 x3 x4 x7 x6)not (x11 x3 x5 x3 x7)not (x11 x3 x5 x4 x2)not (x11 x3 x5 x4 x6)not (x11 x3 x5 x5 x7)not (x11 x3 x5 x6 x2)not (x11 x3 x5 x6 x7)not (x11 x3 x5 x7 x2)not (x11 x3 x5 x7 x6)not (x11 x3 x6 x4 x2)not (x11 x3 x6 x4 x4)not (x11 x3 x6 x4 x6)not (x11 x3 x6 x4 x7)not (x11 x3 x6 x5 x2)not (x11 x3 x6 x5 x3)not (x11 x3 x6 x5 x4)not (x11 x3 x6 x5 x5)not (x11 x3 x6 x6 x3)not (x11 x3 x6 x6 x4)not (x11 x3 x6 x6 x5)not (x11 x3 x6 x6 x6)not (x11 x3 x6 x7 x2)not (x11 x3 x6 x7 x4)not (x11 x3 x7 x4 x3)not (x11 x3 x7 x4 x5)not (x11 x3 x7 x4 x6)not (x11 x3 x7 x4 x7)not (x11 x3 x7 x5 x2)not (x11 x3 x7 x5 x3)not (x11 x3 x7 x5 x4)not (x11 x3 x7 x6 x2)not (x11 x3 x7 x6 x4)not (x11 x3 x7 x6 x5)not (x11 x3 x7 x7 x3)not (x11 x3 x7 x7 x5)not (x11 x4 x2 x4 x4)not (x11 x4 x2 x4 x5)not (x11 x4 x2 x4 x7)not (x11 x4 x2 x5 x2)not (x11 x4 x2 x5 x5)not (x11 x4 x2 x5 x6)not (x11 x4 x2 x6 x2)not (x11 x4 x2 x6 x3)not (x11 x4 x2 x7 x2)not (x11 x4 x2 x7 x3)not (x11 x4 x2 x7 x5)not (x11 x4 x3 x4 x6)not (x11 x4 x3 x5 x7)not (x11 x4 x3 x6 x2)not (x11 x4 x3 x7 x2)not (x11 x4 x4 x4 x7)not (x11 x4 x4 x5 x7)not (x11 x4 x5 x4 x6)not (x11 x4 x5 x5 x2)not (x11 x4 x5 x5 x6)not (x11 x4 x5 x7 x2)not (x11 x4 x6 x6 x4)not (x11 x4 x7 x6 x5)not (x11 x5 x2 x5 x4)not (x11 x5 x2 x5 x5)not (x11 x5 x2 x5 x7)not (x11 x5 x2 x6 x2)not (x11 x5 x2 x6 x3)not (x11 x5 x2 x6 x5)not (x11 x5 x2 x6 x6)not (x11 x5 x2 x7 x4)not (x11 x5 x2 x7 x5)not (x11 x5 x3 x5 x6)not (x11 x5 x3 x6 x2)not (x11 x5 x3 x6 x7)not (x11 x5 x4 x5 x6)not (x11 x5 x4 x6 x6)not (x11 x5 x4 x7 x2)not (x11 x5 x5 x6 x2)not (x11 x5 x5 x7 x2)not (x11 x5 x6 x5 x7)not (x11 x5 x6 x7 x2)not (x11 x5 x6 x7 x5)not (x11 x5 x6 x7 x6)not (x11 x5 x7 x7 x3)not (x11 x5 x7 x7 x4)not (x11 x5 x7 x7 x6)not (x11 x6 x2 x6 x3)not (x11 x6 x2 x7 x4)not (x11 x6 x2 x7 x5)not (x11 x6 x3 x7 x6)not (x11 x6 x4 x6 x6)not (x11 x6 x4 x7 x2)not (x11 x6 x4 x7 x6)not (x11 x6 x5 x6 x7)not (x11 x6 x5 x7 x2)not (x11 x6 x5 x7 x6)not (x11 x6 x6 x6 x7)not (x11 x7 x2 x7 x3)not (x11 x7 x2 x7 x4)∀ x12 . x0 x12∀ x13 . x0 x13∀ x14 . x0 x14∀ x15 . x0 x15∀ x16 . x0 x16∀ x17 . x0 x17∀ x18 . x0 x18∀ x19 . x0 x19x11 x12 x13 x14 x15x11 x12 x13 x16 x17x11 x12 x13 x18 x19x11 x14 x15 x16 x17x11 x14 x15 x18 x19x11 x16 x17 x18 x19False (proof)